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Finding the Fourth Proportional to 3,031.17, 4,545.95 and 840.02

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Solution

The fourth proportional to 3,031.17, 4,545.95 and 840.02 is: 1,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.17 : 4,545.95 = 840.02 : x
  2. Step 2: Convert to fraction form
    3,031.17/4,545.95 = 840.02/x
  3. Step 3: Cross multiply
    3,031.17x = 4,545.95 × 840.02
  4. Step 4: Simplify right side
    3,031.17x = 3,818,696.08
  5. Step 5: Solve for x
    x = 3,818,696.08/3,031.17
  6. Step 6: Final answer
    x = 1,259.81

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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.