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Finding the Fourth Proportional to 2,303.55, 3,178.53 and 1,295.06

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Solution

The fourth proportional to 2,303.55, 3,178.53 and 1,295.06 is: 1,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.55 : 3,178.53 = 1,295.06 : x
  2. Step 2: Convert to fraction form
    2,303.55/3,178.53 = 1,295.06/x
  3. Step 3: Cross multiply
    2,303.55x = 3,178.53 × 1,295.06
  4. Step 4: Simplify right side
    2,303.55x = 4,116,371.17
  5. Step 5: Solve for x
    x = 4,116,371.17/2,303.55
  6. Step 6: Final answer
    x = 1,786.97

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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.