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Finding the Fourth Proportional to 1,888.59, 2,832.46 and 718.17

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Solution

The fourth proportional to 1,888.59, 2,832.46 and 718.17 is: 1,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.59 : 2,832.46 = 718.17 : x
  2. Step 2: Convert to fraction form
    1,888.59/2,832.46 = 718.17/x
  3. Step 3: Cross multiply
    1,888.59x = 2,832.46 × 718.17
  4. Step 4: Simplify right side
    1,888.59x = 2,034,195.28
  5. Step 5: Solve for x
    x = 2,034,195.28/1,888.59
  6. Step 6: Final answer
    x = 1,077.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.