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Finding the Fourth Proportional to 2,447.77, 3,670.44 and 1,407.50

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Solution

The fourth proportional to 2,447.77, 3,670.44 and 1,407.50 is: 2,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.77 : 3,670.44 = 1,407.50 : x
  2. Step 2: Convert to fraction form
    2,447.77/3,670.44 = 1,407.50/x
  3. Step 3: Cross multiply
    2,447.77x = 3,670.44 × 1,407.50
  4. Step 4: Simplify right side
    2,447.77x = 5,166,148.72
  5. Step 5: Solve for x
    x = 5,166,148.72/2,447.77
  6. Step 6: Final answer
    x = 2,110.55

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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.