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Finding the Fourth Proportional to 1,303.98, 1,945.86 and 1,165.50

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Solution

The fourth proportional to 1,303.98, 1,945.86 and 1,165.50 is: 1,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.98 : 1,945.86 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    1,303.98/1,945.86 = 1,165.50/x
  3. Step 3: Cross multiply
    1,303.98x = 1,945.86 × 1,165.50
  4. Step 4: Simplify right side
    1,303.98x = 2,267,899.83
  5. Step 5: Solve for x
    x = 2,267,899.83/1,303.98
  6. Step 6: Final answer
    x = 1,739.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.