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Finding the Fourth Proportional to 2,357.97, 3,521.01 and 2,050.53

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Solution

The fourth proportional to 2,357.97, 3,521.01 and 2,050.53 is: 3,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.97 : 3,521.01 = 2,050.53 : x
  2. Step 2: Convert to fraction form
    2,357.97/3,521.01 = 2,050.53/x
  3. Step 3: Cross multiply
    2,357.97x = 3,521.01 × 2,050.53
  4. Step 4: Simplify right side
    2,357.97x = 7,219,936.64
  5. Step 5: Solve for x
    x = 7,219,936.64/2,357.97
  6. Step 6: Final answer
    x = 3,061.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.