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Finding the Fourth Proportional to 2,877.90, 4,305.87 and 1,580.28

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Solution

The fourth proportional to 2,877.90, 4,305.87 and 1,580.28 is: 2,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.90 : 4,305.87 = 1,580.28 : x
  2. Step 2: Convert to fraction form
    2,877.90/4,305.87 = 1,580.28/x
  3. Step 3: Cross multiply
    2,877.90x = 4,305.87 × 1,580.28
  4. Step 4: Simplify right side
    2,877.90x = 6,804,480.24
  5. Step 5: Solve for x
    x = 6,804,480.24/2,877.90
  6. Step 6: Final answer
    x = 2,364.39

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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.