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Finding the Fourth Proportional to 1,755.90, 2,646.11 and 1,582.74

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Solution

The fourth proportional to 1,755.90, 2,646.11 and 1,582.74 is: 2,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.90 : 2,646.11 = 1,582.74 : x
  2. Step 2: Convert to fraction form
    1,755.90/2,646.11 = 1,582.74/x
  3. Step 3: Cross multiply
    1,755.90x = 2,646.11 × 1,582.74
  4. Step 4: Simplify right side
    1,755.90x = 4,188,096.23
  5. Step 5: Solve for x
    x = 4,188,096.23/1,755.90
  6. Step 6: Final answer
    x = 2,385.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.