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Finding the Fourth Proportional to 1,761.13, 2,430.33 and 975.16

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Solution

The fourth proportional to 1,761.13, 2,430.33 and 975.16 is: 1,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.13 : 2,430.33 = 975.16 : x
  2. Step 2: Convert to fraction form
    1,761.13/2,430.33 = 975.16/x
  3. Step 3: Cross multiply
    1,761.13x = 2,430.33 × 975.16
  4. Step 4: Simplify right side
    1,761.13x = 2,369,960.60
  5. Step 5: Solve for x
    x = 2,369,960.60/1,761.13
  6. Step 6: Final answer
    x = 1,345.70

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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.