Home / 1,432.46-2,148.70-946.46

Finding the Fourth Proportional to 1,432.46, 2,148.70 and 946.46

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Solution

The fourth proportional to 1,432.46, 2,148.70 and 946.46 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.46 : 2,148.70 = 946.46 : x
  2. Step 2: Convert to fraction form
    1,432.46/2,148.70 = 946.46/x
  3. Step 3: Cross multiply
    1,432.46x = 2,148.70 × 946.46
  4. Step 4: Simplify right side
    1,432.46x = 2,033,658.60
  5. Step 5: Solve for x
    x = 2,033,658.60/1,432.46
  6. Step 6: Final answer
    x = 1,419.70

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Why These Related Problems?

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