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Finding the Fourth Proportional to 2,384.95, 3,575.83 and 922.40

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Solution

The fourth proportional to 2,384.95, 3,575.83 and 922.40 is: 1,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.95 : 3,575.83 = 922.40 : x
  2. Step 2: Convert to fraction form
    2,384.95/3,575.83 = 922.40/x
  3. Step 3: Cross multiply
    2,384.95x = 3,575.83 × 922.40
  4. Step 4: Simplify right side
    2,384.95x = 3,298,345.59
  5. Step 5: Solve for x
    x = 3,298,345.59/2,384.95
  6. Step 6: Final answer
    x = 1,382.98

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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.