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Finding the Fourth Proportional to 2,547.96, 3,516.48 and 1,500

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Solution

The fourth proportional to 2,547.96, 3,516.48 and 1,500 is: 2,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.96 : 3,516.48 = 1,500 : x
  2. Step 2: Convert to fraction form
    2,547.96/3,516.48 = 1,500/x
  3. Step 3: Cross multiply
    2,547.96x = 3,516.48 × 1,500
  4. Step 4: Simplify right side
    2,547.96x = 5,274,720
  5. Step 5: Solve for x
    x = 5,274,720/2,547.96
  6. Step 6: Final answer
    x = 2,070.17

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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.