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Finding the Fourth Proportional to 1,347.46, 1,859.82 and 954.61

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Solution

The fourth proportional to 1,347.46, 1,859.82 and 954.61 is: 1,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.46 : 1,859.82 = 954.61 : x
  2. Step 2: Convert to fraction form
    1,347.46/1,859.82 = 954.61/x
  3. Step 3: Cross multiply
    1,347.46x = 1,859.82 × 954.61
  4. Step 4: Simplify right side
    1,347.46x = 1,775,393.47
  5. Step 5: Solve for x
    x = 1,775,393.47/1,347.46
  6. Step 6: Final answer
    x = 1,317.59

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