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Finding the Fourth Proportional to 2,703.84, 4,055.78 and 948.76

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Solution

The fourth proportional to 2,703.84, 4,055.78 and 948.76 is: 1,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.84 : 4,055.78 = 948.76 : x
  2. Step 2: Convert to fraction form
    2,703.84/4,055.78 = 948.76/x
  3. Step 3: Cross multiply
    2,703.84x = 4,055.78 × 948.76
  4. Step 4: Simplify right side
    2,703.84x = 3,847,961.83
  5. Step 5: Solve for x
    x = 3,847,961.83/2,703.84
  6. Step 6: Final answer
    x = 1,423.15

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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.