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Finding the Fourth Proportional to 2,312.88, 3,462.48 and 2,024.88

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Solution

The fourth proportional to 2,312.88, 3,462.48 and 2,024.88 is: 3,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.88 : 3,462.48 = 2,024.88 : x
  2. Step 2: Convert to fraction form
    2,312.88/3,462.48 = 2,024.88/x
  3. Step 3: Cross multiply
    2,312.88x = 3,462.48 × 2,024.88
  4. Step 4: Simplify right side
    2,312.88x = 7,011,106.50
  5. Step 5: Solve for x
    x = 7,011,106.50/2,312.88
  6. Step 6: Final answer
    x = 3,031.33

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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.