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Finding the Fourth Proportional to 2,303.64, 3,180.20 and 1,561.52

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Solution

The fourth proportional to 2,303.64, 3,180.20 and 1,561.52 is: 2,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.64 : 3,180.20 = 1,561.52 : x
  2. Step 2: Convert to fraction form
    2,303.64/3,180.20 = 1,561.52/x
  3. Step 3: Cross multiply
    2,303.64x = 3,180.20 × 1,561.52
  4. Step 4: Simplify right side
    2,303.64x = 4,965,945.90
  5. Step 5: Solve for x
    x = 4,965,945.90/2,303.64
  6. Step 6: Final answer
    x = 2,155.70

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