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Finding the Fourth Proportional to 2,780.16, 4,165.92 and 1,752

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Solution

The fourth proportional to 2,780.16, 4,165.92 and 1,752 is: 2,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.16 : 4,165.92 = 1,752 : x
  2. Step 2: Convert to fraction form
    2,780.16/4,165.92 = 1,752/x
  3. Step 3: Cross multiply
    2,780.16x = 4,165.92 × 1,752
  4. Step 4: Simplify right side
    2,780.16x = 7,298,691.84
  5. Step 5: Solve for x
    x = 7,298,691.84/2,780.16
  6. Step 6: Final answer
    x = 2,625.28

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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.