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Finding the Fourth Proportional to 1,800.24, 2,483.92 and 1,381.08

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Solution

The fourth proportional to 1,800.24, 2,483.92 and 1,381.08 is: 1,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.24 : 2,483.92 = 1,381.08 : x
  2. Step 2: Convert to fraction form
    1,800.24/2,483.92 = 1,381.08/x
  3. Step 3: Cross multiply
    1,800.24x = 2,483.92 × 1,381.08
  4. Step 4: Simplify right side
    1,800.24x = 3,430,492.23
  5. Step 5: Solve for x
    x = 3,430,492.23/1,800.24
  6. Step 6: Final answer
    x = 1,905.57

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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.