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Finding the Fourth Proportional to 2,068.18, 3,102.58 and 607.16

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Solution

The fourth proportional to 2,068.18, 3,102.58 and 607.16 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.18 : 3,102.58 = 607.16 : x
  2. Step 2: Convert to fraction form
    2,068.18/3,102.58 = 607.16/x
  3. Step 3: Cross multiply
    2,068.18x = 3,102.58 × 607.16
  4. Step 4: Simplify right side
    2,068.18x = 1,883,762.47
  5. Step 5: Solve for x
    x = 1,883,762.47/2,068.18
  6. Step 6: Final answer
    x = 910.83

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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.