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Finding the Fourth Proportional to 1,760.97, 2,430.19 and 975.07

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Solution

The fourth proportional to 1,760.97, 2,430.19 and 975.07 is: 1,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.97 : 2,430.19 = 975.07 : x
  2. Step 2: Convert to fraction form
    1,760.97/2,430.19 = 975.07/x
  3. Step 3: Cross multiply
    1,760.97x = 2,430.19 × 975.07
  4. Step 4: Simplify right side
    1,760.97x = 2,369,596.85
  5. Step 5: Solve for x
    x = 2,369,596.85/1,760.97
  6. Step 6: Final answer
    x = 1,345.62

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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.