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Finding the Fourth Proportional to 2,560.51, 3,532.34 and 1,565.59

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Solution

The fourth proportional to 2,560.51, 3,532.34 and 1,565.59 is: 2,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.51 : 3,532.34 = 1,565.59 : x
  2. Step 2: Convert to fraction form
    2,560.51/3,532.34 = 1,565.59/x
  3. Step 3: Cross multiply
    2,560.51x = 3,532.34 × 1,565.59
  4. Step 4: Simplify right side
    2,560.51x = 5,530,196.18
  5. Step 5: Solve for x
    x = 5,530,196.18/2,560.51
  6. Step 6: Final answer
    x = 2,159.80

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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.