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Finding the Fourth Proportional to 2,070.32, 2,854.71 and 1,597.14

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Solution

The fourth proportional to 2,070.32, 2,854.71 and 1,597.14 is: 2,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.32 : 2,854.71 = 1,597.14 : x
  2. Step 2: Convert to fraction form
    2,070.32/2,854.71 = 1,597.14/x
  3. Step 3: Cross multiply
    2,070.32x = 2,854.71 × 1,597.14
  4. Step 4: Simplify right side
    2,070.32x = 4,559,371.53
  5. Step 5: Solve for x
    x = 4,559,371.53/2,070.32
  6. Step 6: Final answer
    x = 2,202.25

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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.