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Finding the Fourth Proportional to 2,303.12, 3,455.73 and 841.95

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Solution

The fourth proportional to 2,303.12, 3,455.73 and 841.95 is: 1,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.12 : 3,455.73 = 841.95 : x
  2. Step 2: Convert to fraction form
    2,303.12/3,455.73 = 841.95/x
  3. Step 3: Cross multiply
    2,303.12x = 3,455.73 × 841.95
  4. Step 4: Simplify right side
    2,303.12x = 2,909,551.87
  5. Step 5: Solve for x
    x = 2,909,551.87/2,303.12
  6. Step 6: Final answer
    x = 1,263.31

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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.