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Finding the Fourth Proportional to 2,547, 3,516.30 and 1,924.92

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Solution

The fourth proportional to 2,547, 3,516.30 and 1,924.92 is: 2,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,516.30 = 1,924.92 : x
  2. Step 2: Convert to fraction form
    2,547/3,516.30 = 1,924.92/x
  3. Step 3: Cross multiply
    2,547x = 3,516.30 × 1,924.92
  4. Step 4: Simplify right side
    2,547x = 6,768,596.20
  5. Step 5: Solve for x
    x = 6,768,596.20/2,547
  6. Step 6: Final answer
    x = 2,657.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.