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Finding the Fourth Proportional to 2,590.59, 3,575.07 and 1,411.67

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Solution

The fourth proportional to 2,590.59, 3,575.07 and 1,411.67 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.59 : 3,575.07 = 1,411.67 : x
  2. Step 2: Convert to fraction form
    2,590.59/3,575.07 = 1,411.67/x
  3. Step 3: Cross multiply
    2,590.59x = 3,575.07 × 1,411.67
  4. Step 4: Simplify right side
    2,590.59x = 5,046,801.19
  5. Step 5: Solve for x
    x = 5,046,801.19/2,590.59
  6. Step 6: Final answer
    x = 1,948.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.