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Finding the Fourth Proportional to 3,646.74, 5,470.10 and 1,700.30

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Solution

The fourth proportional to 3,646.74, 5,470.10 and 1,700.30 is: 2,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.74 : 5,470.10 = 1,700.30 : x
  2. Step 2: Convert to fraction form
    3,646.74/5,470.10 = 1,700.30/x
  3. Step 3: Cross multiply
    3,646.74x = 5,470.10 × 1,700.30
  4. Step 4: Simplify right side
    3,646.74x = 9,300,811.03
  5. Step 5: Solve for x
    x = 9,300,811.03/3,646.74
  6. Step 6: Final answer
    x = 2,550.45

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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.