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Finding the Fourth Proportional to 2,887.84, 4,323 and 1,585.36

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Solution

The fourth proportional to 2,887.84, 4,323 and 1,585.36 is: 2,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.84 : 4,323 = 1,585.36 : x
  2. Step 2: Convert to fraction form
    2,887.84/4,323 = 1,585.36/x
  3. Step 3: Cross multiply
    2,887.84x = 4,323 × 1,585.36
  4. Step 4: Simplify right side
    2,887.84x = 6,853,511.28
  5. Step 5: Solve for x
    x = 6,853,511.28/2,887.84
  6. Step 6: Final answer
    x = 2,373.23

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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.