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Finding the Fourth Proportional to 1,346.09, 1,855.80 and 1,159.19

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Solution

The fourth proportional to 1,346.09, 1,855.80 and 1,159.19 is: 1,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.09 : 1,855.80 = 1,159.19 : x
  2. Step 2: Convert to fraction form
    1,346.09/1,855.80 = 1,159.19/x
  3. Step 3: Cross multiply
    1,346.09x = 1,855.80 × 1,159.19
  4. Step 4: Simplify right side
    1,346.09x = 2,151,215.52
  5. Step 5: Solve for x
    x = 2,151,215.52/1,346.09
  6. Step 6: Final answer
    x = 1,598.12

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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.