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Finding the Fourth Proportional to 2,906.88, 4,358.90 and 1,032.14

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Solution

The fourth proportional to 2,906.88, 4,358.90 and 1,032.14 is: 1,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,358.90 = 1,032.14 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,358.90 = 1,032.14/x
  3. Step 3: Cross multiply
    2,906.88x = 4,358.90 × 1,032.14
  4. Step 4: Simplify right side
    2,906.88x = 4,498,968.09
  5. Step 5: Solve for x
    x = 4,498,968.09/2,906.88
  6. Step 6: Final answer
    x = 1,547.70

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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.