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Finding the Fourth Proportional to 2,547.36, 3,514.20 and 1,485

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Solution

The fourth proportional to 2,547.36, 3,514.20 and 1,485 is: 2,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.36 : 3,514.20 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,547.36/3,514.20 = 1,485/x
  3. Step 3: Cross multiply
    2,547.36x = 3,514.20 × 1,485
  4. Step 4: Simplify right side
    2,547.36x = 5,218,587
  5. Step 5: Solve for x
    x = 5,218,587/2,547.36
  6. Step 6: Final answer
    x = 2,048.63

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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.