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Finding the Fourth Proportional to 2,288.68, 3,430.02 and 1,055.92

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Solution

The fourth proportional to 2,288.68, 3,430.02 and 1,055.92 is: 1,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.68 : 3,430.02 = 1,055.92 : x
  2. Step 2: Convert to fraction form
    2,288.68/3,430.02 = 1,055.92/x
  3. Step 3: Cross multiply
    2,288.68x = 3,430.02 × 1,055.92
  4. Step 4: Simplify right side
    2,288.68x = 3,621,826.72
  5. Step 5: Solve for x
    x = 3,621,826.72/2,288.68
  6. Step 6: Final answer
    x = 1,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.