Home / 2,824.02-3,897-1,565.04

Finding the Fourth Proportional to 2,824.02, 3,897 and 1,565.04

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Solution

The fourth proportional to 2,824.02, 3,897 and 1,565.04 is: 2,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.02 : 3,897 = 1,565.04 : x
  2. Step 2: Convert to fraction form
    2,824.02/3,897 = 1,565.04/x
  3. Step 3: Cross multiply
    2,824.02x = 3,897 × 1,565.04
  4. Step 4: Simplify right side
    2,824.02x = 6,098,960.88
  5. Step 5: Solve for x
    x = 6,098,960.88/2,824.02
  6. Step 6: Final answer
    x = 2,159.67

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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.