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Finding the Fourth Proportional to 1,760.70, 2,430.32 and 1,363.17

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Solution

The fourth proportional to 1,760.70, 2,430.32 and 1,363.17 is: 1,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.70 : 2,430.32 = 1,363.17 : x
  2. Step 2: Convert to fraction form
    1,760.70/2,430.32 = 1,363.17/x
  3. Step 3: Cross multiply
    1,760.70x = 2,430.32 × 1,363.17
  4. Step 4: Simplify right side
    1,760.70x = 3,312,939.31
  5. Step 5: Solve for x
    x = 3,312,939.31/1,760.70
  6. Step 6: Final answer
    x = 1,881.60

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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.