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Finding the Fourth Proportional to 2,762.68, 4,123.80 and 2,434.63

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Solution

The fourth proportional to 2,762.68, 4,123.80 and 2,434.63 is: 3,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.68 : 4,123.80 = 2,434.63 : x
  2. Step 2: Convert to fraction form
    2,762.68/4,123.80 = 2,434.63/x
  3. Step 3: Cross multiply
    2,762.68x = 4,123.80 × 2,434.63
  4. Step 4: Simplify right side
    2,762.68x = 10,039,927.19
  5. Step 5: Solve for x
    x = 10,039,927.19/2,762.68
  6. Step 6: Final answer
    x = 3,634.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.