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Finding the Fourth Proportional to 1,760.92, 2,430.12 and 975.04

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Solution

The fourth proportional to 1,760.92, 2,430.12 and 975.04 is: 1,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.92 : 2,430.12 = 975.04 : x
  2. Step 2: Convert to fraction form
    1,760.92/2,430.12 = 975.04/x
  3. Step 3: Cross multiply
    1,760.92x = 2,430.12 × 975.04
  4. Step 4: Simplify right side
    1,760.92x = 2,369,464.20
  5. Step 5: Solve for x
    x = 2,369,464.20/1,760.92
  6. Step 6: Final answer
    x = 1,345.58

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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.