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Finding the Fourth Proportional to 1,504.68, 2,077.47 and 1,008.06

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Solution

The fourth proportional to 1,504.68, 2,077.47 and 1,008.06 is: 1,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.68 : 2,077.47 = 1,008.06 : x
  2. Step 2: Convert to fraction form
    1,504.68/2,077.47 = 1,008.06/x
  3. Step 3: Cross multiply
    1,504.68x = 2,077.47 × 1,008.06
  4. Step 4: Simplify right side
    1,504.68x = 2,094,214.41
  5. Step 5: Solve for x
    x = 2,094,214.41/1,504.68
  6. Step 6: Final answer
    x = 1,391.80

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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.