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Finding the Fourth Proportional to 4,941.77, 7,412.40 and 1,244.00

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Solution

The fourth proportional to 4,941.77, 7,412.40 and 1,244.00 is: 1,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.77 : 7,412.40 = 1,244.00 : x
  2. Step 2: Convert to fraction form
    4,941.77/7,412.40 = 1,244.00/x
  3. Step 3: Cross multiply
    4,941.77x = 7,412.40 × 1,244.00
  4. Step 4: Simplify right side
    4,941.77x = 9,221,044.13
  5. Step 5: Solve for x
    x = 9,221,044.13/4,941.77
  6. Step 6: Final answer
    x = 1,865.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.