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Finding the Fourth Proportional to 2,574.64, 3,841.08 and 2,363.20

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Solution

The fourth proportional to 2,574.64, 3,841.08 and 2,363.20 is: 3,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.64 : 3,841.08 = 2,363.20 : x
  2. Step 2: Convert to fraction form
    2,574.64/3,841.08 = 2,363.20/x
  3. Step 3: Cross multiply
    2,574.64x = 3,841.08 × 2,363.20
  4. Step 4: Simplify right side
    2,574.64x = 9,077,240.26
  5. Step 5: Solve for x
    x = 9,077,240.26/2,574.64
  6. Step 6: Final answer
    x = 3,525.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.