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Finding the Fourth Proportional to 2,195.52, 3,030.66 and 1,610.70

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Solution

The fourth proportional to 2,195.52, 3,030.66 and 1,610.70 is: 2,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.52 : 3,030.66 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    2,195.52/3,030.66 = 1,610.70/x
  3. Step 3: Cross multiply
    2,195.52x = 3,030.66 × 1,610.70
  4. Step 4: Simplify right side
    2,195.52x = 4,881,484.06
  5. Step 5: Solve for x
    x = 4,881,484.06/2,195.52
  6. Step 6: Final answer
    x = 2,223.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.