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Finding the Fourth Proportional to 2,760.53, 3,810.35 and 1,582.38

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Solution

The fourth proportional to 2,760.53, 3,810.35 and 1,582.38 is: 2,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.53 : 3,810.35 = 1,582.38 : x
  2. Step 2: Convert to fraction form
    2,760.53/3,810.35 = 1,582.38/x
  3. Step 3: Cross multiply
    2,760.53x = 3,810.35 × 1,582.38
  4. Step 4: Simplify right side
    2,760.53x = 6,029,421.63
  5. Step 5: Solve for x
    x = 6,029,421.63/2,760.53
  6. Step 6: Final answer
    x = 2,184.15

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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.