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Finding the Fourth Proportional to 2,987.76, 4,482.16 and 1,256.24

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Solution

The fourth proportional to 2,987.76, 4,482.16 and 1,256.24 is: 1,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.76 : 4,482.16 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    2,987.76/4,482.16 = 1,256.24/x
  3. Step 3: Cross multiply
    2,987.76x = 4,482.16 × 1,256.24
  4. Step 4: Simplify right side
    2,987.76x = 5,630,668.68
  5. Step 5: Solve for x
    x = 5,630,668.68/2,987.76
  6. Step 6: Final answer
    x = 1,884.58

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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.