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Finding the Fourth Proportional to 1,571.41, 2,359.55 and 1,502.16

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Solution

The fourth proportional to 1,571.41, 2,359.55 and 1,502.16 is: 2,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.41 : 2,359.55 = 1,502.16 : x
  2. Step 2: Convert to fraction form
    1,571.41/2,359.55 = 1,502.16/x
  3. Step 3: Cross multiply
    1,571.41x = 2,359.55 × 1,502.16
  4. Step 4: Simplify right side
    1,571.41x = 3,544,421.63
  5. Step 5: Solve for x
    x = 3,544,421.63/1,571.41
  6. Step 6: Final answer
    x = 2,255.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.