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Finding the Fourth Proportional to 1,502.67, 2,071.75 and 1,029.72

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Solution

The fourth proportional to 1,502.67, 2,071.75 and 1,029.72 is: 1,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.67 : 2,071.75 = 1,029.72 : x
  2. Step 2: Convert to fraction form
    1,502.67/2,071.75 = 1,029.72/x
  3. Step 3: Cross multiply
    1,502.67x = 2,071.75 × 1,029.72
  4. Step 4: Simplify right side
    1,502.67x = 2,133,329.03
  5. Step 5: Solve for x
    x = 2,133,329.03/1,502.67
  6. Step 6: Final answer
    x = 1,419.69

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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.