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Finding the Fourth Proportional to 1,565.39, 2,151.18 and 1,493.10

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Solution

The fourth proportional to 1,565.39, 2,151.18 and 1,493.10 is: 2,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.39 : 2,151.18 = 1,493.10 : x
  2. Step 2: Convert to fraction form
    1,565.39/2,151.18 = 1,493.10/x
  3. Step 3: Cross multiply
    1,565.39x = 2,151.18 × 1,493.10
  4. Step 4: Simplify right side
    1,565.39x = 3,211,926.86
  5. Step 5: Solve for x
    x = 3,211,926.86/1,565.39
  6. Step 6: Final answer
    x = 2,051.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.