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Finding the Fourth Proportional to 2,804.62, 3,870.47 and 1,545.76

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Solution

The fourth proportional to 2,804.62, 3,870.47 and 1,545.76 is: 2,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.62 : 3,870.47 = 1,545.76 : x
  2. Step 2: Convert to fraction form
    2,804.62/3,870.47 = 1,545.76/x
  3. Step 3: Cross multiply
    2,804.62x = 3,870.47 × 1,545.76
  4. Step 4: Simplify right side
    2,804.62x = 5,982,817.71
  5. Step 5: Solve for x
    x = 5,982,817.71/2,804.62
  6. Step 6: Final answer
    x = 2,133.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.