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Finding the Fourth Proportional to 2,303.50, 3,180 and 1,359.58

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Solution

The fourth proportional to 2,303.50, 3,180 and 1,359.58 is: 1,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.50 : 3,180 = 1,359.58 : x
  2. Step 2: Convert to fraction form
    2,303.50/3,180 = 1,359.58/x
  3. Step 3: Cross multiply
    2,303.50x = 3,180 × 1,359.58
  4. Step 4: Simplify right side
    2,303.50x = 4,323,468.38
  5. Step 5: Solve for x
    x = 4,323,468.38/2,303.50
  6. Step 6: Final answer
    x = 1,876.91

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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.