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Finding the Fourth Proportional to 2,547.69, 3,516.51 and 1,602.81

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Solution

The fourth proportional to 2,547.69, 3,516.51 and 1,602.81 is: 2,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.69 : 3,516.51 = 1,602.81 : x
  2. Step 2: Convert to fraction form
    2,547.69/3,516.51 = 1,602.81/x
  3. Step 3: Cross multiply
    2,547.69x = 3,516.51 × 1,602.81
  4. Step 4: Simplify right side
    2,547.69x = 5,636,297.39
  5. Step 5: Solve for x
    x = 5,636,297.39/2,547.69
  6. Step 6: Final answer
    x = 2,212.32

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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.