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Finding the Fourth Proportional to 2,590.95, 3,575.50 and 1,412.01

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Solution

The fourth proportional to 2,590.95, 3,575.50 and 1,412.01 is: 1,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.95 : 3,575.50 = 1,412.01 : x
  2. Step 2: Convert to fraction form
    2,590.95/3,575.50 = 1,412.01/x
  3. Step 3: Cross multiply
    2,590.95x = 3,575.50 × 1,412.01
  4. Step 4: Simplify right side
    2,590.95x = 5,048,638.22
  5. Step 5: Solve for x
    x = 5,048,638.22/2,590.95
  6. Step 6: Final answer
    x = 1,948.57

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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.