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Finding the Fourth Proportional to 2,898.59, 4,347.68 and 1,049.36

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Solution

The fourth proportional to 2,898.59, 4,347.68 and 1,049.36 is: 1,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.59 : 4,347.68 = 1,049.36 : x
  2. Step 2: Convert to fraction form
    2,898.59/4,347.68 = 1,049.36/x
  3. Step 3: Cross multiply
    2,898.59x = 4,347.68 × 1,049.36
  4. Step 4: Simplify right side
    2,898.59x = 4,562,254.50
  5. Step 5: Solve for x
    x = 4,562,254.50/2,898.59
  6. Step 6: Final answer
    x = 1,573.96

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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.