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Finding the Fourth Proportional to 2,642.42, 3,648.04 and 1,804.34

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Solution

The fourth proportional to 2,642.42, 3,648.04 and 1,804.34 is: 2,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.42 : 3,648.04 = 1,804.34 : x
  2. Step 2: Convert to fraction form
    2,642.42/3,648.04 = 1,804.34/x
  3. Step 3: Cross multiply
    2,642.42x = 3,648.04 × 1,804.34
  4. Step 4: Simplify right side
    2,642.42x = 6,582,309.10
  5. Step 5: Solve for x
    x = 6,582,309.10/2,642.42
  6. Step 6: Final answer
    x = 2,491.01

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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.