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Finding the Fourth Proportional to 1,547.69, 2,135.16 and 1,049.54

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Solution

The fourth proportional to 1,547.69, 2,135.16 and 1,049.54 is: 1,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.69 : 2,135.16 = 1,049.54 : x
  2. Step 2: Convert to fraction form
    1,547.69/2,135.16 = 1,049.54/x
  3. Step 3: Cross multiply
    1,547.69x = 2,135.16 × 1,049.54
  4. Step 4: Simplify right side
    1,547.69x = 2,240,925.15
  5. Step 5: Solve for x
    x = 2,240,925.15/1,547.69
  6. Step 6: Final answer
    x = 1,447.92

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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.