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Finding the Fourth Proportional to 1,931.82, 2,897.52 and 545.20

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Solution

The fourth proportional to 1,931.82, 2,897.52 and 545.20 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.82 : 2,897.52 = 545.20 : x
  2. Step 2: Convert to fraction form
    1,931.82/2,897.52 = 545.20/x
  3. Step 3: Cross multiply
    1,931.82x = 2,897.52 × 545.20
  4. Step 4: Simplify right side
    1,931.82x = 1,579,727.90
  5. Step 5: Solve for x
    x = 1,579,727.90/1,931.82
  6. Step 6: Final answer
    x = 817.74

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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.