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Finding the Fourth Proportional to 1,872.19, 2,582.10 and 1,647.64

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Solution

The fourth proportional to 1,872.19, 2,582.10 and 1,647.64 is: 2,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.19 : 2,582.10 = 1,647.64 : x
  2. Step 2: Convert to fraction form
    1,872.19/2,582.10 = 1,647.64/x
  3. Step 3: Cross multiply
    1,872.19x = 2,582.10 × 1,647.64
  4. Step 4: Simplify right side
    1,872.19x = 4,254,371.24
  5. Step 5: Solve for x
    x = 4,254,371.24/1,872.19
  6. Step 6: Final answer
    x = 2,272.40

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