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Finding the Fourth Proportional to 1,710.58, 2,565.27 and 1,436.74

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Solution

The fourth proportional to 1,710.58, 2,565.27 and 1,436.74 is: 2,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.58 : 2,565.27 = 1,436.74 : x
  2. Step 2: Convert to fraction form
    1,710.58/2,565.27 = 1,436.74/x
  3. Step 3: Cross multiply
    1,710.58x = 2,565.27 × 1,436.74
  4. Step 4: Simplify right side
    1,710.58x = 3,685,626.02
  5. Step 5: Solve for x
    x = 3,685,626.02/1,710.58
  6. Step 6: Final answer
    x = 2,154.61

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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.