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Finding the Fourth Proportional to 2,590.86, 3,886.35 and 742.14

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Solution

The fourth proportional to 2,590.86, 3,886.35 and 742.14 is: 1,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.86 : 3,886.35 = 742.14 : x
  2. Step 2: Convert to fraction form
    2,590.86/3,886.35 = 742.14/x
  3. Step 3: Cross multiply
    2,590.86x = 3,886.35 × 742.14
  4. Step 4: Simplify right side
    2,590.86x = 2,884,215.79
  5. Step 5: Solve for x
    x = 2,884,215.79/2,590.86
  6. Step 6: Final answer
    x = 1,113.23

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