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Finding the Fourth Proportional to 1,806.51, 2,492.96 and 1,009.85

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Solution

The fourth proportional to 1,806.51, 2,492.96 and 1,009.85 is: 1,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.51 : 2,492.96 = 1,009.85 : x
  2. Step 2: Convert to fraction form
    1,806.51/2,492.96 = 1,009.85/x
  3. Step 3: Cross multiply
    1,806.51x = 2,492.96 × 1,009.85
  4. Step 4: Simplify right side
    1,806.51x = 2,517,498.14
  5. Step 5: Solve for x
    x = 2,517,498.14/1,806.51
  6. Step 6: Final answer
    x = 1,393.57

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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.