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Finding the Fourth Proportional to 2,988, 4,482 and 1,256.76

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Solution

The fourth proportional to 2,988, 4,482 and 1,256.76 is: 1,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988 : 4,482 = 1,256.76 : x
  2. Step 2: Convert to fraction form
    2,988/4,482 = 1,256.76/x
  3. Step 3: Cross multiply
    2,988x = 4,482 × 1,256.76
  4. Step 4: Simplify right side
    2,988x = 5,632,798.32
  5. Step 5: Solve for x
    x = 5,632,798.32/2,988
  6. Step 6: Final answer
    x = 1,885.14

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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.