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Finding the Fourth Proportional to 1,805.98, 2,492.46 and 1,009.60

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Solution

The fourth proportional to 1,805.98, 2,492.46 and 1,009.60 is: 1,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.98 : 2,492.46 = 1,009.60 : x
  2. Step 2: Convert to fraction form
    1,805.98/2,492.46 = 1,009.60/x
  3. Step 3: Cross multiply
    1,805.98x = 2,492.46 × 1,009.60
  4. Step 4: Simplify right side
    1,805.98x = 2,516,387.62
  5. Step 5: Solve for x
    x = 2,516,387.62/1,805.98
  6. Step 6: Final answer
    x = 1,393.36

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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.