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Finding the Fourth Proportional to 1,425.82, 2,138.52 and 877.72

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Solution

The fourth proportional to 1,425.82, 2,138.52 and 877.72 is: 1,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.82 : 2,138.52 = 877.72 : x
  2. Step 2: Convert to fraction form
    1,425.82/2,138.52 = 877.72/x
  3. Step 3: Cross multiply
    1,425.82x = 2,138.52 × 877.72
  4. Step 4: Simplify right side
    1,425.82x = 1,877,021.77
  5. Step 5: Solve for x
    x = 1,877,021.77/1,425.82
  6. Step 6: Final answer
    x = 1,316.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.