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Finding the Fourth Proportional to 3,506.80, 5,261.40 and 1,560.40

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Solution

The fourth proportional to 3,506.80, 5,261.40 and 1,560.40 is: 2,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 5,261.40 = 1,560.40 : x
  2. Step 2: Convert to fraction form
    3,506.80/5,261.40 = 1,560.40/x
  3. Step 3: Cross multiply
    3,506.80x = 5,261.40 × 1,560.40
  4. Step 4: Simplify right side
    3,506.80x = 8,209,888.56
  5. Step 5: Solve for x
    x = 8,209,888.56/3,506.80
  6. Step 6: Final answer
    x = 2,341.13

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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.