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Finding the Fourth Proportional to 3,098.07, 4,646.18 and 906.27

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Solution

The fourth proportional to 3,098.07, 4,646.18 and 906.27 is: 1,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.07 : 4,646.18 = 906.27 : x
  2. Step 2: Convert to fraction form
    3,098.07/4,646.18 = 906.27/x
  3. Step 3: Cross multiply
    3,098.07x = 4,646.18 × 906.27
  4. Step 4: Simplify right side
    3,098.07x = 4,210,689.02
  5. Step 5: Solve for x
    x = 4,210,689.02/3,098.07
  6. Step 6: Final answer
    x = 1,359.13

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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.