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Finding the Fourth Proportional to 1,374.96, 1,897.72 and 878.24

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Solution

The fourth proportional to 1,374.96, 1,897.72 and 878.24 is: 1,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.96 : 1,897.72 = 878.24 : x
  2. Step 2: Convert to fraction form
    1,374.96/1,897.72 = 878.24/x
  3. Step 3: Cross multiply
    1,374.96x = 1,897.72 × 878.24
  4. Step 4: Simplify right side
    1,374.96x = 1,666,653.61
  5. Step 5: Solve for x
    x = 1,666,653.61/1,374.96
  6. Step 6: Final answer
    x = 1,212.15

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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.