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Finding the Fourth Proportional to 2,607.10, 3,910.65 and 876.94

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Solution

The fourth proportional to 2,607.10, 3,910.65 and 876.94 is: 1,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.10 : 3,910.65 = 876.94 : x
  2. Step 2: Convert to fraction form
    2,607.10/3,910.65 = 876.94/x
  3. Step 3: Cross multiply
    2,607.10x = 3,910.65 × 876.94
  4. Step 4: Simplify right side
    2,607.10x = 3,429,381.47
  5. Step 5: Solve for x
    x = 3,429,381.47/2,607.10
  6. Step 6: Final answer
    x = 1,315.40

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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.