Home / 1,594.30-2,200.98-1,071.22

Finding the Fourth Proportional to 1,594.30, 2,200.98 and 1,071.22

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Solution

The fourth proportional to 1,594.30, 2,200.98 and 1,071.22 is: 1,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.30 : 2,200.98 = 1,071.22 : x
  2. Step 2: Convert to fraction form
    1,594.30/2,200.98 = 1,071.22/x
  3. Step 3: Cross multiply
    1,594.30x = 2,200.98 × 1,071.22
  4. Step 4: Simplify right side
    1,594.30x = 2,357,733.80
  5. Step 5: Solve for x
    x = 2,357,733.80/1,594.30
  6. Step 6: Final answer
    x = 1,478.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.