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Finding the Fourth Proportional to 1,410.12, 2,116.02 and 785.94

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Solution

The fourth proportional to 1,410.12, 2,116.02 and 785.94 is: 1,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.12 : 2,116.02 = 785.94 : x
  2. Step 2: Convert to fraction form
    1,410.12/2,116.02 = 785.94/x
  3. Step 3: Cross multiply
    1,410.12x = 2,116.02 × 785.94
  4. Step 4: Simplify right side
    1,410.12x = 1,663,064.76
  5. Step 5: Solve for x
    x = 1,663,064.76/1,410.12
  6. Step 6: Final answer
    x = 1,179.38

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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.