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Finding the Fourth Proportional to 2,322.63, 3,484.85 and 1,023.18

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Solution

The fourth proportional to 2,322.63, 3,484.85 and 1,023.18 is: 1,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.63 : 3,484.85 = 1,023.18 : x
  2. Step 2: Convert to fraction form
    2,322.63/3,484.85 = 1,023.18/x
  3. Step 3: Cross multiply
    2,322.63x = 3,484.85 × 1,023.18
  4. Step 4: Simplify right side
    2,322.63x = 3,565,628.82
  5. Step 5: Solve for x
    x = 3,565,628.82/2,322.63
  6. Step 6: Final answer
    x = 1,535.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.