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Finding the Fourth Proportional to 2,087.84, 2,881.47 and 1,291.69

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Solution

The fourth proportional to 2,087.84, 2,881.47 and 1,291.69 is: 1,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.84 : 2,881.47 = 1,291.69 : x
  2. Step 2: Convert to fraction form
    2,087.84/2,881.47 = 1,291.69/x
  3. Step 3: Cross multiply
    2,087.84x = 2,881.47 × 1,291.69
  4. Step 4: Simplify right side
    2,087.84x = 3,721,967.16
  5. Step 5: Solve for x
    x = 3,721,967.16/2,087.84
  6. Step 6: Final answer
    x = 1,782.69

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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.