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Finding the Fourth Proportional to 1,380.09, 2,068.99 and 1,032.14

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Solution

The fourth proportional to 1,380.09, 2,068.99 and 1,032.14 is: 1,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.09 : 2,068.99 = 1,032.14 : x
  2. Step 2: Convert to fraction form
    1,380.09/2,068.99 = 1,032.14/x
  3. Step 3: Cross multiply
    1,380.09x = 2,068.99 × 1,032.14
  4. Step 4: Simplify right side
    1,380.09x = 2,135,495.74
  5. Step 5: Solve for x
    x = 2,135,495.74/1,380.09
  6. Step 6: Final answer
    x = 1,547.36

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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.