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Finding the Fourth Proportional to 1,410.07, 2,114.95 and 370.17

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Solution

The fourth proportional to 1,410.07, 2,114.95 and 370.17 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.07 : 2,114.95 = 370.17 : x
  2. Step 2: Convert to fraction form
    1,410.07/2,114.95 = 370.17/x
  3. Step 3: Cross multiply
    1,410.07x = 2,114.95 × 370.17
  4. Step 4: Simplify right side
    1,410.07x = 782,893.39
  5. Step 5: Solve for x
    x = 782,893.39/1,410.07
  6. Step 6: Final answer
    x = 555.22

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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.