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Finding the Fourth Proportional to 1,953.18, 2,930.25 and 898.50

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Solution

The fourth proportional to 1,953.18, 2,930.25 and 898.50 is: 1,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.18 : 2,930.25 = 898.50 : x
  2. Step 2: Convert to fraction form
    1,953.18/2,930.25 = 898.50/x
  3. Step 3: Cross multiply
    1,953.18x = 2,930.25 × 898.50
  4. Step 4: Simplify right side
    1,953.18x = 2,632,829.63
  5. Step 5: Solve for x
    x = 2,632,829.63/1,953.18
  6. Step 6: Final answer
    x = 1,347.97

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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.