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Finding the Fourth Proportional to 2,066.13, 3,098.58 and 604.93

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Solution

The fourth proportional to 2,066.13, 3,098.58 and 604.93 is: 907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.13 : 3,098.58 = 604.93 : x
  2. Step 2: Convert to fraction form
    2,066.13/3,098.58 = 604.93/x
  3. Step 3: Cross multiply
    2,066.13x = 3,098.58 × 604.93
  4. Step 4: Simplify right side
    2,066.13x = 1,874,424.00
  5. Step 5: Solve for x
    x = 1,874,424.00/2,066.13
  6. Step 6: Final answer
    x = 907.21

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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.