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Finding the Fourth Proportional to 1,456.52, 2,008.42 and 1,268.34

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Solution

The fourth proportional to 1,456.52, 2,008.42 and 1,268.34 is: 1,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.52 : 2,008.42 = 1,268.34 : x
  2. Step 2: Convert to fraction form
    1,456.52/2,008.42 = 1,268.34/x
  3. Step 3: Cross multiply
    1,456.52x = 2,008.42 × 1,268.34
  4. Step 4: Simplify right side
    1,456.52x = 2,547,359.42
  5. Step 5: Solve for x
    x = 2,547,359.42/1,456.52
  6. Step 6: Final answer
    x = 1,748.94

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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.