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Finding the Fourth Proportional to 1,736.16, 2,602.08 and 762.72

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Solution

The fourth proportional to 1,736.16, 2,602.08 and 762.72 is: 1,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.16 : 2,602.08 = 762.72 : x
  2. Step 2: Convert to fraction form
    1,736.16/2,602.08 = 762.72/x
  3. Step 3: Cross multiply
    1,736.16x = 2,602.08 × 762.72
  4. Step 4: Simplify right side
    1,736.16x = 1,984,658.46
  5. Step 5: Solve for x
    x = 1,984,658.46/1,736.16
  6. Step 6: Final answer
    x = 1,143.13

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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.