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Finding the Fourth Proportional to 1,477.44, 2,199.76 and 1,470.15

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Solution

The fourth proportional to 1,477.44, 2,199.76 and 1,470.15 is: 2,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.44 : 2,199.76 = 1,470.15 : x
  2. Step 2: Convert to fraction form
    1,477.44/2,199.76 = 1,470.15/x
  3. Step 3: Cross multiply
    1,477.44x = 2,199.76 × 1,470.15
  4. Step 4: Simplify right side
    1,477.44x = 3,233,973.49
  5. Step 5: Solve for x
    x = 3,233,973.49/1,477.44
  6. Step 6: Final answer
    x = 2,188.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.