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Finding the Fourth Proportional to 1,571.20, 2,368.56 and 1,465.48

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Solution

The fourth proportional to 1,571.20, 2,368.56 and 1,465.48 is: 2,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.20 : 2,368.56 = 1,465.48 : x
  2. Step 2: Convert to fraction form
    1,571.20/2,368.56 = 1,465.48/x
  3. Step 3: Cross multiply
    1,571.20x = 2,368.56 × 1,465.48
  4. Step 4: Simplify right side
    1,571.20x = 3,471,077.31
  5. Step 5: Solve for x
    x = 3,471,077.31/1,571.20
  6. Step 6: Final answer
    x = 2,209.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.