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Finding the Fourth Proportional to 2,366.84, 3,266.80 and 1,471.26

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Solution

The fourth proportional to 2,366.84, 3,266.80 and 1,471.26 is: 2,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.84 : 3,266.80 = 1,471.26 : x
  2. Step 2: Convert to fraction form
    2,366.84/3,266.80 = 1,471.26/x
  3. Step 3: Cross multiply
    2,366.84x = 3,266.80 × 1,471.26
  4. Step 4: Simplify right side
    2,366.84x = 4,806,302.16
  5. Step 5: Solve for x
    x = 4,806,302.16/2,366.84
  6. Step 6: Final answer
    x = 2,030.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.