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Finding the Fourth Proportional to 1,931.91, 2,897.99 and 545.25

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Solution

The fourth proportional to 1,931.91, 2,897.99 and 545.25 is: 817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.91 : 2,897.99 = 545.25 : x
  2. Step 2: Convert to fraction form
    1,931.91/2,897.99 = 545.25/x
  3. Step 3: Cross multiply
    1,931.91x = 2,897.99 × 545.25
  4. Step 4: Simplify right side
    1,931.91x = 1,580,129.05
  5. Step 5: Solve for x
    x = 1,580,129.05/1,931.91
  6. Step 6: Final answer
    x = 817.91

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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.