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Finding the Fourth Proportional to 2,061, 2,840.52 and 1,500.48

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Solution

The fourth proportional to 2,061, 2,840.52 and 1,500.48 is: 2,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061 : 2,840.52 = 1,500.48 : x
  2. Step 2: Convert to fraction form
    2,061/2,840.52 = 1,500.48/x
  3. Step 3: Cross multiply
    2,061x = 2,840.52 × 1,500.48
  4. Step 4: Simplify right side
    2,061x = 4,262,143.45
  5. Step 5: Solve for x
    x = 4,262,143.45/2,061
  6. Step 6: Final answer
    x = 2,068.00

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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.