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Finding the Fourth Proportional to 2,898.48, 4,346.82 and 950.25

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Solution

The fourth proportional to 2,898.48, 4,346.82 and 950.25 is: 1,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.48 : 4,346.82 = 950.25 : x
  2. Step 2: Convert to fraction form
    2,898.48/4,346.82 = 950.25/x
  3. Step 3: Cross multiply
    2,898.48x = 4,346.82 × 950.25
  4. Step 4: Simplify right side
    2,898.48x = 4,130,565.71
  5. Step 5: Solve for x
    x = 4,130,565.71/2,898.48
  6. Step 6: Final answer
    x = 1,425.08

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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.