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Finding the Fourth Proportional to 1,703.47, 2,349.38 and 1,438.53

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Solution

The fourth proportional to 1,703.47, 2,349.38 and 1,438.53 is: 1,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.47 : 2,349.38 = 1,438.53 : x
  2. Step 2: Convert to fraction form
    1,703.47/2,349.38 = 1,438.53/x
  3. Step 3: Cross multiply
    1,703.47x = 2,349.38 × 1,438.53
  4. Step 4: Simplify right side
    1,703.47x = 3,379,653.61
  5. Step 5: Solve for x
    x = 3,379,653.61/1,703.47
  6. Step 6: Final answer
    x = 1,983.98

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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.