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Finding the Fourth Proportional to 1,497.27, 2,242.35 and 1,281

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Solution

The fourth proportional to 1,497.27, 2,242.35 and 1,281 is: 1,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.27 : 2,242.35 = 1,281 : x
  2. Step 2: Convert to fraction form
    1,497.27/2,242.35 = 1,281/x
  3. Step 3: Cross multiply
    1,497.27x = 2,242.35 × 1,281
  4. Step 4: Simplify right side
    1,497.27x = 2,872,450.35
  5. Step 5: Solve for x
    x = 2,872,450.35/1,497.27
  6. Step 6: Final answer
    x = 1,918.46

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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.