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Finding the Fourth Proportional to 2,052, 3,074.58 and 1,357.74

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Solution

The fourth proportional to 2,052, 3,074.58 and 1,357.74 is: 2,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 3,074.58 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    2,052/3,074.58 = 1,357.74/x
  3. Step 3: Cross multiply
    2,052x = 3,074.58 × 1,357.74
  4. Step 4: Simplify right side
    2,052x = 4,174,480.25
  5. Step 5: Solve for x
    x = 4,174,480.25/2,052
  6. Step 6: Final answer
    x = 2,034.35

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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.