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Finding the Fourth Proportional to 2,322.77, 3,482.94 and 1,023.53

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Solution

The fourth proportional to 2,322.77, 3,482.94 and 1,023.53 is: 1,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.77 : 3,482.94 = 1,023.53 : x
  2. Step 2: Convert to fraction form
    2,322.77/3,482.94 = 1,023.53/x
  3. Step 3: Cross multiply
    2,322.77x = 3,482.94 × 1,023.53
  4. Step 4: Simplify right side
    2,322.77x = 3,564,893.58
  5. Step 5: Solve for x
    x = 3,564,893.58/2,322.77
  6. Step 6: Final answer
    x = 1,534.76

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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.