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Finding the Fourth Proportional to 2,892.68, 4,332.72 and 1,501.82

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Solution

The fourth proportional to 2,892.68, 4,332.72 and 1,501.82 is: 2,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.68 : 4,332.72 = 1,501.82 : x
  2. Step 2: Convert to fraction form
    2,892.68/4,332.72 = 1,501.82/x
  3. Step 3: Cross multiply
    2,892.68x = 4,332.72 × 1,501.82
  4. Step 4: Simplify right side
    2,892.68x = 6,506,965.55
  5. Step 5: Solve for x
    x = 6,506,965.55/2,892.68
  6. Step 6: Final answer
    x = 2,249.46

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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.