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Finding the Fourth Proportional to 2,599.44, 3,901.12 and 956.40

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Solution

The fourth proportional to 2,599.44, 3,901.12 and 956.40 is: 1,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.44 : 3,901.12 = 956.40 : x
  2. Step 2: Convert to fraction form
    2,599.44/3,901.12 = 956.40/x
  3. Step 3: Cross multiply
    2,599.44x = 3,901.12 × 956.40
  4. Step 4: Simplify right side
    2,599.44x = 3,731,031.17
  5. Step 5: Solve for x
    x = 3,731,031.17/2,599.44
  6. Step 6: Final answer
    x = 1,435.32

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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.