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Finding the Fourth Proportional to 1,854.42, 2,576.09 and 1,837.14

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Solution

The fourth proportional to 1,854.42, 2,576.09 and 1,837.14 is: 2,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.42 : 2,576.09 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    1,854.42/2,576.09 = 1,837.14/x
  3. Step 3: Cross multiply
    1,854.42x = 2,576.09 × 1,837.14
  4. Step 4: Simplify right side
    1,854.42x = 4,732,628.80
  5. Step 5: Solve for x
    x = 4,732,628.80/1,854.42
  6. Step 6: Final answer
    x = 2,552.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.