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Finding the Fourth Proportional to 1,417.94, 2,131.52 and 873.57

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Solution

The fourth proportional to 1,417.94, 2,131.52 and 873.57 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.94 : 2,131.52 = 873.57 : x
  2. Step 2: Convert to fraction form
    1,417.94/2,131.52 = 873.57/x
  3. Step 3: Cross multiply
    1,417.94x = 2,131.52 × 873.57
  4. Step 4: Simplify right side
    1,417.94x = 1,862,027.56
  5. Step 5: Solve for x
    x = 1,862,027.56/1,417.94
  6. Step 6: Final answer
    x = 1,313.20

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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.