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Finding the Fourth Proportional to 1,785.95, 2,464.59 and 1,000.14

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Solution

The fourth proportional to 1,785.95, 2,464.59 and 1,000.14 is: 1,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.95 : 2,464.59 = 1,000.14 : x
  2. Step 2: Convert to fraction form
    1,785.95/2,464.59 = 1,000.14/x
  3. Step 3: Cross multiply
    1,785.95x = 2,464.59 × 1,000.14
  4. Step 4: Simplify right side
    1,785.95x = 2,464,935.04
  5. Step 5: Solve for x
    x = 2,464,935.04/1,785.95
  6. Step 6: Final answer
    x = 1,380.19

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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.