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Finding the Fourth Proportional to 2,421.53, 3,340.12 and 1,923.38

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Solution

The fourth proportional to 2,421.53, 3,340.12 and 1,923.38 is: 2,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.53 : 3,340.12 = 1,923.38 : x
  2. Step 2: Convert to fraction form
    2,421.53/3,340.12 = 1,923.38/x
  3. Step 3: Cross multiply
    2,421.53x = 3,340.12 × 1,923.38
  4. Step 4: Simplify right side
    2,421.53x = 6,424,320.01
  5. Step 5: Solve for x
    x = 6,424,320.01/2,421.53
  6. Step 6: Final answer
    x = 2,653.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.