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Finding the Fourth Proportional to 2,370.64, 3,568.78 and 2,132.50

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Solution

The fourth proportional to 2,370.64, 3,568.78 and 2,132.50 is: 3,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.64 : 3,568.78 = 2,132.50 : x
  2. Step 2: Convert to fraction form
    2,370.64/3,568.78 = 2,132.50/x
  3. Step 3: Cross multiply
    2,370.64x = 3,568.78 × 2,132.50
  4. Step 4: Simplify right side
    2,370.64x = 7,610,423.35
  5. Step 5: Solve for x
    x = 7,610,423.35/2,370.64
  6. Step 6: Final answer
    x = 3,210.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.