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Finding the Fourth Proportional to 2,547.48, 3,817.90 and 985.94

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Solution

The fourth proportional to 2,547.48, 3,817.90 and 985.94 is: 1,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.48 : 3,817.90 = 985.94 : x
  2. Step 2: Convert to fraction form
    2,547.48/3,817.90 = 985.94/x
  3. Step 3: Cross multiply
    2,547.48x = 3,817.90 × 985.94
  4. Step 4: Simplify right side
    2,547.48x = 3,764,216.79
  5. Step 5: Solve for x
    x = 3,764,216.79/2,547.48
  6. Step 6: Final answer
    x = 1,477.62

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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.