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Finding the Fourth Proportional to 2,726.63, 3,762.62 and 1,547.76

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Solution

The fourth proportional to 2,726.63, 3,762.62 and 1,547.76 is: 2,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.63 : 3,762.62 = 1,547.76 : x
  2. Step 2: Convert to fraction form
    2,726.63/3,762.62 = 1,547.76/x
  3. Step 3: Cross multiply
    2,726.63x = 3,762.62 × 1,547.76
  4. Step 4: Simplify right side
    2,726.63x = 5,823,624.99
  5. Step 5: Solve for x
    x = 5,823,624.99/2,726.63
  6. Step 6: Final answer
    x = 2,135.84

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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.