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Finding the Fourth Proportional to 1,865.32, 2,574.06 and 1,079.20

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Solution

The fourth proportional to 1,865.32, 2,574.06 and 1,079.20 is: 1,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.32 : 2,574.06 = 1,079.20 : x
  2. Step 2: Convert to fraction form
    1,865.32/2,574.06 = 1,079.20/x
  3. Step 3: Cross multiply
    1,865.32x = 2,574.06 × 1,079.20
  4. Step 4: Simplify right side
    1,865.32x = 2,777,925.55
  5. Step 5: Solve for x
    x = 2,777,925.55/1,865.32
  6. Step 6: Final answer
    x = 1,489.25

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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.