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Finding the Fourth Proportional to 1,568.46, 2,174.28 and 1,506.90

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Solution

The fourth proportional to 1,568.46, 2,174.28 and 1,506.90 is: 2,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.46 : 2,174.28 = 1,506.90 : x
  2. Step 2: Convert to fraction form
    1,568.46/2,174.28 = 1,506.90/x
  3. Step 3: Cross multiply
    1,568.46x = 2,174.28 × 1,506.90
  4. Step 4: Simplify right side
    1,568.46x = 3,276,422.53
  5. Step 5: Solve for x
    x = 3,276,422.53/1,568.46
  6. Step 6: Final answer
    x = 2,088.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.