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Finding the Fourth Proportional to 3,068.16, 4,602.48 and 2,040

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Solution

The fourth proportional to 3,068.16, 4,602.48 and 2,040 is: 3,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.16 : 4,602.48 = 2,040 : x
  2. Step 2: Convert to fraction form
    3,068.16/4,602.48 = 2,040/x
  3. Step 3: Cross multiply
    3,068.16x = 4,602.48 × 2,040
  4. Step 4: Simplify right side
    3,068.16x = 9,389,059.20
  5. Step 5: Solve for x
    x = 9,389,059.20/3,068.16
  6. Step 6: Final answer
    x = 3,060.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.