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Finding the Fourth Proportional to 3,134.76, 4,696.34 and 1,572.94

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Solution

The fourth proportional to 3,134.76, 4,696.34 and 1,572.94 is: 2,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,696.34 = 1,572.94 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,696.34 = 1,572.94/x
  3. Step 3: Cross multiply
    3,134.76x = 4,696.34 × 1,572.94
  4. Step 4: Simplify right side
    3,134.76x = 7,387,061.04
  5. Step 5: Solve for x
    x = 7,387,061.04/3,134.76
  6. Step 6: Final answer
    x = 2,356.50

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1.5x scale

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.