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Finding the Fourth Proportional to 1,417.02, 2,119.98 and 952.57

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Solution

The fourth proportional to 1,417.02, 2,119.98 and 952.57 is: 1,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.02 : 2,119.98 = 952.57 : x
  2. Step 2: Convert to fraction form
    1,417.02/2,119.98 = 952.57/x
  3. Step 3: Cross multiply
    1,417.02x = 2,119.98 × 952.57
  4. Step 4: Simplify right side
    1,417.02x = 2,019,429.35
  5. Step 5: Solve for x
    x = 2,019,429.35/1,417.02
  6. Step 6: Final answer
    x = 1,425.12

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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.