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Finding the Fourth Proportional to 1,859.66, 2,565.44 and 1,113.47

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Solution

The fourth proportional to 1,859.66, 2,565.44 and 1,113.47 is: 1,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.66 : 2,565.44 = 1,113.47 : x
  2. Step 2: Convert to fraction form
    1,859.66/2,565.44 = 1,113.47/x
  3. Step 3: Cross multiply
    1,859.66x = 2,565.44 × 1,113.47
  4. Step 4: Simplify right side
    1,859.66x = 2,856,546.89
  5. Step 5: Solve for x
    x = 2,856,546.89/1,859.66
  6. Step 6: Final answer
    x = 1,536.06

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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.