Home / 1,621.52-2,432.28-971.72

Finding the Fourth Proportional to 1,621.52, 2,432.28 and 971.72

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Solution

The fourth proportional to 1,621.52, 2,432.28 and 971.72 is: 1,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.52 : 2,432.28 = 971.72 : x
  2. Step 2: Convert to fraction form
    1,621.52/2,432.28 = 971.72/x
  3. Step 3: Cross multiply
    1,621.52x = 2,432.28 × 971.72
  4. Step 4: Simplify right side
    1,621.52x = 2,363,495.12
  5. Step 5: Solve for x
    x = 2,363,495.12/1,621.52
  6. Step 6: Final answer
    x = 1,457.58

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1.5x scale

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.