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Finding the Fourth Proportional to 1,774.47, 2,448.76 and 977.80

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Solution

The fourth proportional to 1,774.47, 2,448.76 and 977.80 is: 1,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.47 : 2,448.76 = 977.80 : x
  2. Step 2: Convert to fraction form
    1,774.47/2,448.76 = 977.80/x
  3. Step 3: Cross multiply
    1,774.47x = 2,448.76 × 977.80
  4. Step 4: Simplify right side
    1,774.47x = 2,394,393.50
  5. Step 5: Solve for x
    x = 2,394,393.50/1,774.47
  6. Step 6: Final answer
    x = 1,349.36

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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.