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Finding the Fourth Proportional to 3,130.76, 4,690.34 and 1,568.94

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Solution

The fourth proportional to 3,130.76, 4,690.34 and 1,568.94 is: 2,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.76 : 4,690.34 = 1,568.94 : x
  2. Step 2: Convert to fraction form
    3,130.76/4,690.34 = 1,568.94/x
  3. Step 3: Cross multiply
    3,130.76x = 4,690.34 × 1,568.94
  4. Step 4: Simplify right side
    3,130.76x = 7,358,862.04
  5. Step 5: Solve for x
    x = 7,358,862.04/3,130.76
  6. Step 6: Final answer
    x = 2,350.50

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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.