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Finding the Fourth Proportional to 1,881.29, 2,596.03 and 1,042.01

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Solution

The fourth proportional to 1,881.29, 2,596.03 and 1,042.01 is: 1,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.29 : 2,596.03 = 1,042.01 : x
  2. Step 2: Convert to fraction form
    1,881.29/2,596.03 = 1,042.01/x
  3. Step 3: Cross multiply
    1,881.29x = 2,596.03 × 1,042.01
  4. Step 4: Simplify right side
    1,881.29x = 2,705,084.01
  5. Step 5: Solve for x
    x = 2,705,084.01/1,881.29
  6. Step 6: Final answer
    x = 1,437.89

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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.