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Finding the Fourth Proportional to 2,289.78, 3,160.02 and 1,406.52

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Solution

The fourth proportional to 2,289.78, 3,160.02 and 1,406.52 is: 1,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.78 : 3,160.02 = 1,406.52 : x
  2. Step 2: Convert to fraction form
    2,289.78/3,160.02 = 1,406.52/x
  3. Step 3: Cross multiply
    2,289.78x = 3,160.02 × 1,406.52
  4. Step 4: Simplify right side
    2,289.78x = 4,444,631.33
  5. Step 5: Solve for x
    x = 4,444,631.33/2,289.78
  6. Step 6: Final answer
    x = 1,941.07

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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.