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Finding the Fourth Proportional to 1,762.65, 2,432.70 and 1,342.41

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Solution

The fourth proportional to 1,762.65, 2,432.70 and 1,342.41 is: 1,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.65 : 2,432.70 = 1,342.41 : x
  2. Step 2: Convert to fraction form
    1,762.65/2,432.70 = 1,342.41/x
  3. Step 3: Cross multiply
    1,762.65x = 2,432.70 × 1,342.41
  4. Step 4: Simplify right side
    1,762.65x = 3,265,680.81
  5. Step 5: Solve for x
    x = 3,265,680.81/1,762.65
  6. Step 6: Final answer
    x = 1,852.71

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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.