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Finding the Fourth Proportional to 3,203.04, 4,420.52 and 1,877.16

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Solution

The fourth proportional to 3,203.04, 4,420.52 and 1,877.16 is: 2,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.04 : 4,420.52 = 1,877.16 : x
  2. Step 2: Convert to fraction form
    3,203.04/4,420.52 = 1,877.16/x
  3. Step 3: Cross multiply
    3,203.04x = 4,420.52 × 1,877.16
  4. Step 4: Simplify right side
    3,203.04x = 8,298,023.32
  5. Step 5: Solve for x
    x = 8,298,023.32/3,203.04
  6. Step 6: Final answer
    x = 2,590.67

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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.