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Finding the Fourth Proportional to 2,303.04, 3,453.48 and 841.17

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Solution

The fourth proportional to 2,303.04, 3,453.48 and 841.17 is: 1,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.04 : 3,453.48 = 841.17 : x
  2. Step 2: Convert to fraction form
    2,303.04/3,453.48 = 841.17/x
  3. Step 3: Cross multiply
    2,303.04x = 3,453.48 × 841.17
  4. Step 4: Simplify right side
    2,303.04x = 2,904,963.77
  5. Step 5: Solve for x
    x = 2,904,963.77/2,303.04
  6. Step 6: Final answer
    x = 1,261.36

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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.