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Finding the Fourth Proportional to 1,565.45, 2,355.68 and 1,289.79

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Solution

The fourth proportional to 1,565.45, 2,355.68 and 1,289.79 is: 1,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.45 : 2,355.68 = 1,289.79 : x
  2. Step 2: Convert to fraction form
    1,565.45/2,355.68 = 1,289.79/x
  3. Step 3: Cross multiply
    1,565.45x = 2,355.68 × 1,289.79
  4. Step 4: Simplify right side
    1,565.45x = 3,038,326.06
  5. Step 5: Solve for x
    x = 3,038,326.06/1,565.45
  6. Step 6: Final answer
    x = 1,940.87

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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.