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Finding the Fourth Proportional to 2,303.82, 3,454.20 and 1,070.55

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Solution

The fourth proportional to 2,303.82, 3,454.20 and 1,070.55 is: 1,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.82 : 3,454.20 = 1,070.55 : x
  2. Step 2: Convert to fraction form
    2,303.82/3,454.20 = 1,070.55/x
  3. Step 3: Cross multiply
    2,303.82x = 3,454.20 × 1,070.55
  4. Step 4: Simplify right side
    2,303.82x = 3,697,893.81
  5. Step 5: Solve for x
    x = 3,697,893.81/2,303.82
  6. Step 6: Final answer
    x = 1,605.11

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