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Finding the Fourth Proportional to 2,368.56, 3,552.84 and 2,190

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Solution

The fourth proportional to 2,368.56, 3,552.84 and 2,190 is: 3,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.56 : 3,552.84 = 2,190 : x
  2. Step 2: Convert to fraction form
    2,368.56/3,552.84 = 2,190/x
  3. Step 3: Cross multiply
    2,368.56x = 3,552.84 × 2,190
  4. Step 4: Simplify right side
    2,368.56x = 7,780,719.60
  5. Step 5: Solve for x
    x = 7,780,719.60/2,368.56
  6. Step 6: Final answer
    x = 3,285.00

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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.