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Finding the Fourth Proportional to 1,803.95, 2,486.72 and 1,410.29

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Solution

The fourth proportional to 1,803.95, 2,486.72 and 1,410.29 is: 1,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.95 : 2,486.72 = 1,410.29 : x
  2. Step 2: Convert to fraction form
    1,803.95/2,486.72 = 1,410.29/x
  3. Step 3: Cross multiply
    1,803.95x = 2,486.72 × 1,410.29
  4. Step 4: Simplify right side
    1,803.95x = 3,506,987.44
  5. Step 5: Solve for x
    x = 3,506,987.44/1,803.95
  6. Step 6: Final answer
    x = 1,944.07

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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.