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Finding the Fourth Proportional to 2,066.93, 3,097.47 and 1,602.53

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Solution

The fourth proportional to 2,066.93, 3,097.47 and 1,602.53 is: 2,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.93 : 3,097.47 = 1,602.53 : x
  2. Step 2: Convert to fraction form
    2,066.93/3,097.47 = 1,602.53/x
  3. Step 3: Cross multiply
    2,066.93x = 3,097.47 × 1,602.53
  4. Step 4: Simplify right side
    2,066.93x = 4,963,773.11
  5. Step 5: Solve for x
    x = 4,963,773.11/2,066.93
  6. Step 6: Final answer
    x = 2,401.53

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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.