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Finding the Fourth Proportional to 2,898.53, 4,353.16 and 1,512.82

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Solution

The fourth proportional to 2,898.53, 4,353.16 and 1,512.82 is: 2,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.53 : 4,353.16 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    2,898.53/4,353.16 = 1,512.82/x
  3. Step 3: Cross multiply
    2,898.53x = 4,353.16 × 1,512.82
  4. Step 4: Simplify right side
    2,898.53x = 6,585,547.51
  5. Step 5: Solve for x
    x = 6,585,547.51/2,898.53
  6. Step 6: Final answer
    x = 2,272.03

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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.