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Finding the Fourth Proportional to 2,325.42, 3,485.16 and 1,007.61

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Solution

The fourth proportional to 2,325.42, 3,485.16 and 1,007.61 is: 1,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.42 : 3,485.16 = 1,007.61 : x
  2. Step 2: Convert to fraction form
    2,325.42/3,485.16 = 1,007.61/x
  3. Step 3: Cross multiply
    2,325.42x = 3,485.16 × 1,007.61
  4. Step 4: Simplify right side
    2,325.42x = 3,511,682.07
  5. Step 5: Solve for x
    x = 3,511,682.07/2,325.42
  6. Step 6: Final answer
    x = 1,510.13

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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.