Home / 2,288.70-3,432.95-971.60

Finding the Fourth Proportional to 2,288.70, 3,432.95 and 971.60

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Solution

The fourth proportional to 2,288.70, 3,432.95 and 971.60 is: 1,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.70 : 3,432.95 = 971.60 : x
  2. Step 2: Convert to fraction form
    2,288.70/3,432.95 = 971.60/x
  3. Step 3: Cross multiply
    2,288.70x = 3,432.95 × 971.60
  4. Step 4: Simplify right side
    2,288.70x = 3,335,454.22
  5. Step 5: Solve for x
    x = 3,335,454.22/2,288.70
  6. Step 6: Final answer
    x = 1,457.36

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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.