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Finding the Fourth Proportional to 2,087.16, 2,881.02 and 1,388.76

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Solution

The fourth proportional to 2,087.16, 2,881.02 and 1,388.76 is: 1,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.16 : 2,881.02 = 1,388.76 : x
  2. Step 2: Convert to fraction form
    2,087.16/2,881.02 = 1,388.76/x
  3. Step 3: Cross multiply
    2,087.16x = 2,881.02 × 1,388.76
  4. Step 4: Simplify right side
    2,087.16x = 4,001,045.34
  5. Step 5: Solve for x
    x = 4,001,045.34/2,087.16
  6. Step 6: Final answer
    x = 1,916.98

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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.