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Finding the Fourth Proportional to 2,176.46, 3,264.69 and 877.63

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Solution

The fourth proportional to 2,176.46, 3,264.69 and 877.63 is: 1,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.46 : 3,264.69 = 877.63 : x
  2. Step 2: Convert to fraction form
    2,176.46/3,264.69 = 877.63/x
  3. Step 3: Cross multiply
    2,176.46x = 3,264.69 × 877.63
  4. Step 4: Simplify right side
    2,176.46x = 2,865,189.88
  5. Step 5: Solve for x
    x = 2,865,189.88/2,176.46
  6. Step 6: Final answer
    x = 1,316.45

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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.