Home / 2,287.66-3,432.39-971.70

Finding the Fourth Proportional to 2,287.66, 3,432.39 and 971.70

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Solution

The fourth proportional to 2,287.66, 3,432.39 and 971.70 is: 1,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.66 : 3,432.39 = 971.70 : x
  2. Step 2: Convert to fraction form
    2,287.66/3,432.39 = 971.70/x
  3. Step 3: Cross multiply
    2,287.66x = 3,432.39 × 971.70
  4. Step 4: Simplify right side
    2,287.66x = 3,335,248.50
  5. Step 5: Solve for x
    x = 3,335,248.50/2,287.66
  6. Step 6: Final answer
    x = 1,457.93

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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.