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Finding the Fourth Proportional to 1,846.40, 2,540.28 and 1,528.07

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Solution

The fourth proportional to 1,846.40, 2,540.28 and 1,528.07 is: 2,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.40 : 2,540.28 = 1,528.07 : x
  2. Step 2: Convert to fraction form
    1,846.40/2,540.28 = 1,528.07/x
  3. Step 3: Cross multiply
    1,846.40x = 2,540.28 × 1,528.07
  4. Step 4: Simplify right side
    1,846.40x = 3,881,732.01
  5. Step 5: Solve for x
    x = 3,881,732.01/1,846.40
  6. Step 6: Final answer
    x = 2,102.32

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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.