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Finding the Fourth Proportional to 2,446.93, 3,670.35 and 598.02

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Solution

The fourth proportional to 2,446.93, 3,670.35 and 598.02 is: 897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.93 : 3,670.35 = 598.02 : x
  2. Step 2: Convert to fraction form
    2,446.93/3,670.35 = 598.02/x
  3. Step 3: Cross multiply
    2,446.93x = 3,670.35 × 598.02
  4. Step 4: Simplify right side
    2,446.93x = 2,194,942.71
  5. Step 5: Solve for x
    x = 2,194,942.71/2,446.93
  6. Step 6: Final answer
    x = 897.02

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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.