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Finding the Fourth Proportional to 2,726.62, 3,762.93 and 1,547.77

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Solution

The fourth proportional to 2,726.62, 3,762.93 and 1,547.77 is: 2,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.62 : 3,762.93 = 1,547.77 : x
  2. Step 2: Convert to fraction form
    2,726.62/3,762.93 = 1,547.77/x
  3. Step 3: Cross multiply
    2,726.62x = 3,762.93 × 1,547.77
  4. Step 4: Simplify right side
    2,726.62x = 5,824,140.76
  5. Step 5: Solve for x
    x = 5,824,140.76/2,726.62
  6. Step 6: Final answer
    x = 2,136.03

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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.