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Finding the Fourth Proportional to 1,761.36, 2,430.80 and 975.44

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Solution

The fourth proportional to 1,761.36, 2,430.80 and 975.44 is: 1,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.36 : 2,430.80 = 975.44 : x
  2. Step 2: Convert to fraction form
    1,761.36/2,430.80 = 975.44/x
  3. Step 3: Cross multiply
    1,761.36x = 2,430.80 × 975.44
  4. Step 4: Simplify right side
    1,761.36x = 2,371,099.55
  5. Step 5: Solve for x
    x = 2,371,099.55/1,761.36
  6. Step 6: Final answer
    x = 1,346.18

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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.