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Finding the Fourth Proportional to 2,590.97, 3,886.71 and 742.14

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Solution

The fourth proportional to 2,590.97, 3,886.71 and 742.14 is: 1,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.97 : 3,886.71 = 742.14 : x
  2. Step 2: Convert to fraction form
    2,590.97/3,886.71 = 742.14/x
  3. Step 3: Cross multiply
    2,590.97x = 3,886.71 × 742.14
  4. Step 4: Simplify right side
    2,590.97x = 2,884,482.96
  5. Step 5: Solve for x
    x = 2,884,482.96/2,590.97
  6. Step 6: Final answer
    x = 1,113.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.