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Finding the Fourth Proportional to 2,898.15, 4,345.61 and 950.19

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Solution

The fourth proportional to 2,898.15, 4,345.61 and 950.19 is: 1,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.15 : 4,345.61 = 950.19 : x
  2. Step 2: Convert to fraction form
    2,898.15/4,345.61 = 950.19/x
  3. Step 3: Cross multiply
    2,898.15x = 4,345.61 × 950.19
  4. Step 4: Simplify right side
    2,898.15x = 4,129,150.41
  5. Step 5: Solve for x
    x = 4,129,150.41/2,898.15
  6. Step 6: Final answer
    x = 1,424.75

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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.