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Finding the Fourth Proportional to 1,691.12, 2,329.08 and 1,570.16

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Solution

The fourth proportional to 1,691.12, 2,329.08 and 1,570.16 is: 2,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.12 : 2,329.08 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    1,691.12/2,329.08 = 1,570.16/x
  3. Step 3: Cross multiply
    1,691.12x = 2,329.08 × 1,570.16
  4. Step 4: Simplify right side
    1,691.12x = 3,657,028.25
  5. Step 5: Solve for x
    x = 3,657,028.25/1,691.12
  6. Step 6: Final answer
    x = 2,162.49

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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.