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Finding the Fourth Proportional to 3,160.51, 4,738.73 and 1,312.90

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Solution

The fourth proportional to 3,160.51, 4,738.73 and 1,312.90 is: 1,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.51 : 4,738.73 = 1,312.90 : x
  2. Step 2: Convert to fraction form
    3,160.51/4,738.73 = 1,312.90/x
  3. Step 3: Cross multiply
    3,160.51x = 4,738.73 × 1,312.90
  4. Step 4: Simplify right side
    3,160.51x = 6,221,470.05
  5. Step 5: Solve for x
    x = 6,221,470.05/3,160.51
  6. Step 6: Final answer
    x = 1,968.50

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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.