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Finding the Fourth Proportional to 1,497.48, 2,242.76 and 1,445.58

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Solution

The fourth proportional to 1,497.48, 2,242.76 and 1,445.58 is: 2,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.48 : 2,242.76 = 1,445.58 : x
  2. Step 2: Convert to fraction form
    1,497.48/2,242.76 = 1,445.58/x
  3. Step 3: Cross multiply
    1,497.48x = 2,242.76 × 1,445.58
  4. Step 4: Simplify right side
    1,497.48x = 3,242,086.30
  5. Step 5: Solve for x
    x = 3,242,086.30/1,497.48
  6. Step 6: Final answer
    x = 2,165.03

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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.