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Finding the Fourth Proportional to 1,755.07, 2,421.88 and 969.11

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Solution

The fourth proportional to 1,755.07, 2,421.88 and 969.11 is: 1,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.07 : 2,421.88 = 969.11 : x
  2. Step 2: Convert to fraction form
    1,755.07/2,421.88 = 969.11/x
  3. Step 3: Cross multiply
    1,755.07x = 2,421.88 × 969.11
  4. Step 4: Simplify right side
    1,755.07x = 2,347,068.13
  5. Step 5: Solve for x
    x = 2,347,068.13/1,755.07
  6. Step 6: Final answer
    x = 1,337.31

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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.