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Finding the Fourth Proportional to 1,594.80, 2,403.86 and 1,528.88

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Solution

The fourth proportional to 1,594.80, 2,403.86 and 1,528.88 is: 2,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.80 : 2,403.86 = 1,528.88 : x
  2. Step 2: Convert to fraction form
    1,594.80/2,403.86 = 1,528.88/x
  3. Step 3: Cross multiply
    1,594.80x = 2,403.86 × 1,528.88
  4. Step 4: Simplify right side
    1,594.80x = 3,675,213.48
  5. Step 5: Solve for x
    x = 3,675,213.48/1,594.80
  6. Step 6: Final answer
    x = 2,304.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.