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Finding the Fourth Proportional to 1,760.03, 2,430.90 and 1,407.17

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Solution

The fourth proportional to 1,760.03, 2,430.90 and 1,407.17 is: 1,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.03 : 2,430.90 = 1,407.17 : x
  2. Step 2: Convert to fraction form
    1,760.03/2,430.90 = 1,407.17/x
  3. Step 3: Cross multiply
    1,760.03x = 2,430.90 × 1,407.17
  4. Step 4: Simplify right side
    1,760.03x = 3,420,689.55
  5. Step 5: Solve for x
    x = 3,420,689.55/1,760.03
  6. Step 6: Final answer
    x = 1,943.54

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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.