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Finding the Fourth Proportional to 1,309.98, 1,808.55 and 1,164.18

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Solution

The fourth proportional to 1,309.98, 1,808.55 and 1,164.18 is: 1,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.98 : 1,808.55 = 1,164.18 : x
  2. Step 2: Convert to fraction form
    1,309.98/1,808.55 = 1,164.18/x
  3. Step 3: Cross multiply
    1,309.98x = 1,808.55 × 1,164.18
  4. Step 4: Simplify right side
    1,309.98x = 2,105,477.74
  5. Step 5: Solve for x
    x = 2,105,477.74/1,309.98
  6. Step 6: Final answer
    x = 1,607.26

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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.