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Finding the Fourth Proportional to 1,456.70, 2,008.76 and 1,296.70

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Solution

The fourth proportional to 1,456.70, 2,008.76 and 1,296.70 is: 1,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.70 : 2,008.76 = 1,296.70 : x
  2. Step 2: Convert to fraction form
    1,456.70/2,008.76 = 1,296.70/x
  3. Step 3: Cross multiply
    1,456.70x = 2,008.76 × 1,296.70
  4. Step 4: Simplify right side
    1,456.70x = 2,604,759.09
  5. Step 5: Solve for x
    x = 2,604,759.09/1,456.70
  6. Step 6: Final answer
    x = 1,788.12

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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.