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Finding the Fourth Proportional to 2,582.03, 3,873.12 and 1,655.44

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Solution

The fourth proportional to 2,582.03, 3,873.12 and 1,655.44 is: 2,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.03 : 3,873.12 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    2,582.03/3,873.12 = 1,655.44/x
  3. Step 3: Cross multiply
    2,582.03x = 3,873.12 × 1,655.44
  4. Step 4: Simplify right side
    2,582.03x = 6,411,701.88
  5. Step 5: Solve for x
    x = 6,411,701.88/2,582.03
  6. Step 6: Final answer
    x = 2,483.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.