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Finding the Fourth Proportional to 2,182.58, 3,286.64 and 1,570.52

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Solution

The fourth proportional to 2,182.58, 3,286.64 and 1,570.52 is: 2,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.58 : 3,286.64 = 1,570.52 : x
  2. Step 2: Convert to fraction form
    2,182.58/3,286.64 = 1,570.52/x
  3. Step 3: Cross multiply
    2,182.58x = 3,286.64 × 1,570.52
  4. Step 4: Simplify right side
    2,182.58x = 5,161,746.00
  5. Step 5: Solve for x
    x = 5,161,746.00/2,182.58
  6. Step 6: Final answer
    x = 2,364.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.