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Finding the Fourth Proportional to 1,502.44, 2,240.42 and 1,398.58

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Solution

The fourth proportional to 1,502.44, 2,240.42 and 1,398.58 is: 2,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.44 : 2,240.42 = 1,398.58 : x
  2. Step 2: Convert to fraction form
    1,502.44/2,240.42 = 1,398.58/x
  3. Step 3: Cross multiply
    1,502.44x = 2,240.42 × 1,398.58
  4. Step 4: Simplify right side
    1,502.44x = 3,133,406.60
  5. Step 5: Solve for x
    x = 3,133,406.60/1,502.44
  6. Step 6: Final answer
    x = 2,085.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.