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Finding the Fourth Proportional to 1,686.56, 2,329.48 and 1,298.24

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Solution

The fourth proportional to 1,686.56, 2,329.48 and 1,298.24 is: 1,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.56 : 2,329.48 = 1,298.24 : x
  2. Step 2: Convert to fraction form
    1,686.56/2,329.48 = 1,298.24/x
  3. Step 3: Cross multiply
    1,686.56x = 2,329.48 × 1,298.24
  4. Step 4: Simplify right side
    1,686.56x = 3,024,224.12
  5. Step 5: Solve for x
    x = 3,024,224.12/1,686.56
  6. Step 6: Final answer
    x = 1,793.13

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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.