Home / 1,577.12-2,176.32-987.76

Finding the Fourth Proportional to 1,577.12, 2,176.32 and 987.76

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Solution

The fourth proportional to 1,577.12, 2,176.32 and 987.76 is: 1,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.12 : 2,176.32 = 987.76 : x
  2. Step 2: Convert to fraction form
    1,577.12/2,176.32 = 987.76/x
  3. Step 3: Cross multiply
    1,577.12x = 2,176.32 × 987.76
  4. Step 4: Simplify right side
    1,577.12x = 2,149,681.84
  5. Step 5: Solve for x
    x = 2,149,681.84/1,577.12
  6. Step 6: Final answer
    x = 1,363.04

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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.