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Finding the Fourth Proportional to 2,031.76, 3,047.64 and 645.10

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Solution

The fourth proportional to 2,031.76, 3,047.64 and 645.10 is: 967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.76 : 3,047.64 = 645.10 : x
  2. Step 2: Convert to fraction form
    2,031.76/3,047.64 = 645.10/x
  3. Step 3: Cross multiply
    2,031.76x = 3,047.64 × 645.10
  4. Step 4: Simplify right side
    2,031.76x = 1,966,032.56
  5. Step 5: Solve for x
    x = 1,966,032.56/2,031.76
  6. Step 6: Final answer
    x = 967.65

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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.