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Finding the Fourth Proportional to 1,665.41, 2,499.63 and 740.79

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Solution

The fourth proportional to 1,665.41, 2,499.63 and 740.79 is: 1,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.41 : 2,499.63 = 740.79 : x
  2. Step 2: Convert to fraction form
    1,665.41/2,499.63 = 740.79/x
  3. Step 3: Cross multiply
    1,665.41x = 2,499.63 × 740.79
  4. Step 4: Simplify right side
    1,665.41x = 1,851,707.16
  5. Step 5: Solve for x
    x = 1,851,707.16/1,665.41
  6. Step 6: Final answer
    x = 1,111.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.