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Finding the Fourth Proportional to 2,126.80, 2,935.04 and 1,287.35

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Solution

The fourth proportional to 2,126.80, 2,935.04 and 1,287.35 is: 1,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.80 : 2,935.04 = 1,287.35 : x
  2. Step 2: Convert to fraction form
    2,126.80/2,935.04 = 1,287.35/x
  3. Step 3: Cross multiply
    2,126.80x = 2,935.04 × 1,287.35
  4. Step 4: Simplify right side
    2,126.80x = 3,778,423.74
  5. Step 5: Solve for x
    x = 3,778,423.74/2,126.80
  6. Step 6: Final answer
    x = 1,776.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.