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Finding the Fourth Proportional to 1,975.64, 2,729.48 and 1,505.13

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Solution

The fourth proportional to 1,975.64, 2,729.48 and 1,505.13 is: 2,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.64 : 2,729.48 = 1,505.13 : x
  2. Step 2: Convert to fraction form
    1,975.64/2,729.48 = 1,505.13/x
  3. Step 3: Cross multiply
    1,975.64x = 2,729.48 × 1,505.13
  4. Step 4: Simplify right side
    1,975.64x = 4,108,214.71
  5. Step 5: Solve for x
    x = 4,108,214.71/1,975.64
  6. Step 6: Final answer
    x = 2,079.44

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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.