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Finding the Fourth Proportional to 1,700.40, 2,345.58 and 1,227.78

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Solution

The fourth proportional to 1,700.40, 2,345.58 and 1,227.78 is: 1,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.40 : 2,345.58 = 1,227.78 : x
  2. Step 2: Convert to fraction form
    1,700.40/2,345.58 = 1,227.78/x
  3. Step 3: Cross multiply
    1,700.40x = 2,345.58 × 1,227.78
  4. Step 4: Simplify right side
    1,700.40x = 2,879,856.21
  5. Step 5: Solve for x
    x = 2,879,856.21/1,700.40
  6. Step 6: Final answer
    x = 1,693.63

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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.