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Finding the Fourth Proportional to 1,502.24, 2,068 and 1,304.64

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Solution

The fourth proportional to 1,502.24, 2,068 and 1,304.64 is: 1,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.24 : 2,068 = 1,304.64 : x
  2. Step 2: Convert to fraction form
    1,502.24/2,068 = 1,304.64/x
  3. Step 3: Cross multiply
    1,502.24x = 2,068 × 1,304.64
  4. Step 4: Simplify right side
    1,502.24x = 2,697,995.52
  5. Step 5: Solve for x
    x = 2,697,995.52/1,502.24
  6. Step 6: Final answer
    x = 1,795.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.