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Finding the Fourth Proportional to 1,574.66, 2,359.46 and 834.23

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Solution

The fourth proportional to 1,574.66, 2,359.46 and 834.23 is: 1,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.66 : 2,359.46 = 834.23 : x
  2. Step 2: Convert to fraction form
    1,574.66/2,359.46 = 834.23/x
  3. Step 3: Cross multiply
    1,574.66x = 2,359.46 × 834.23
  4. Step 4: Simplify right side
    1,574.66x = 1,968,340.30
  5. Step 5: Solve for x
    x = 1,968,340.30/1,574.66
  6. Step 6: Final answer
    x = 1,250.01

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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.