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Finding the Fourth Proportional to 1,436.66, 2,152.14 and 948.23

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Solution

The fourth proportional to 1,436.66, 2,152.14 and 948.23 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.66 : 2,152.14 = 948.23 : x
  2. Step 2: Convert to fraction form
    1,436.66/2,152.14 = 948.23/x
  3. Step 3: Cross multiply
    1,436.66x = 2,152.14 × 948.23
  4. Step 4: Simplify right side
    1,436.66x = 2,040,723.71
  5. Step 5: Solve for x
    x = 2,040,723.71/1,436.66
  6. Step 6: Final answer
    x = 1,420.46

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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.