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Finding the Fourth Proportional to 1,700.52, 2,347.74 and 1,112.04

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Solution

The fourth proportional to 1,700.52, 2,347.74 and 1,112.04 is: 1,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.52 : 2,347.74 = 1,112.04 : x
  2. Step 2: Convert to fraction form
    1,700.52/2,347.74 = 1,112.04/x
  3. Step 3: Cross multiply
    1,700.52x = 2,347.74 × 1,112.04
  4. Step 4: Simplify right side
    1,700.52x = 2,610,780.79
  5. Step 5: Solve for x
    x = 2,610,780.79/1,700.52
  6. Step 6: Final answer
    x = 1,535.28

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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.