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Finding the Fourth Proportional to 1,410.35, 2,114.99 and 1,019.17

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Solution

The fourth proportional to 1,410.35, 2,114.99 and 1,019.17 is: 1,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.35 : 2,114.99 = 1,019.17 : x
  2. Step 2: Convert to fraction form
    1,410.35/2,114.99 = 1,019.17/x
  3. Step 3: Cross multiply
    1,410.35x = 2,114.99 × 1,019.17
  4. Step 4: Simplify right side
    1,410.35x = 2,155,525.81
  5. Step 5: Solve for x
    x = 2,155,525.81/1,410.35
  6. Step 6: Final answer
    x = 1,528.36

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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.