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Finding the Fourth Proportional to 1,803.40, 2,705.10 and 1,023.10

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Solution

The fourth proportional to 1,803.40, 2,705.10 and 1,023.10 is: 1,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.40 : 2,705.10 = 1,023.10 : x
  2. Step 2: Convert to fraction form
    1,803.40/2,705.10 = 1,023.10/x
  3. Step 3: Cross multiply
    1,803.40x = 2,705.10 × 1,023.10
  4. Step 4: Simplify right side
    1,803.40x = 2,767,587.81
  5. Step 5: Solve for x
    x = 2,767,587.81/1,803.40
  6. Step 6: Final answer
    x = 1,534.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.