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Finding the Fourth Proportional to 1,487.81, 2,053.10 and 824.62

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Solution

The fourth proportional to 1,487.81, 2,053.10 and 824.62 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.81 : 2,053.10 = 824.62 : x
  2. Step 2: Convert to fraction form
    1,487.81/2,053.10 = 824.62/x
  3. Step 3: Cross multiply
    1,487.81x = 2,053.10 × 824.62
  4. Step 4: Simplify right side
    1,487.81x = 1,693,030.39
  5. Step 5: Solve for x
    x = 1,693,030.39/1,487.81
  6. Step 6: Final answer
    x = 1,137.93

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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.