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Finding the Fourth Proportional to 2,006.48, 3,009.88 and 545.76

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Solution

The fourth proportional to 2,006.48, 3,009.88 and 545.76 is: 818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.48 : 3,009.88 = 545.76 : x
  2. Step 2: Convert to fraction form
    2,006.48/3,009.88 = 545.76/x
  3. Step 3: Cross multiply
    2,006.48x = 3,009.88 × 545.76
  4. Step 4: Simplify right side
    2,006.48x = 1,642,672.11
  5. Step 5: Solve for x
    x = 1,642,672.11/2,006.48
  6. Step 6: Final answer
    x = 818.68

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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.