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Finding the Fourth Proportional to 1,385.16, 2,073.98 and 1,210.12

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Solution

The fourth proportional to 1,385.16, 2,073.98 and 1,210.12 is: 1,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 2,073.98 = 1,210.12 : x
  2. Step 2: Convert to fraction form
    1,385.16/2,073.98 = 1,210.12/x
  3. Step 3: Cross multiply
    1,385.16x = 2,073.98 × 1,210.12
  4. Step 4: Simplify right side
    1,385.16x = 2,509,764.68
  5. Step 5: Solve for x
    x = 2,509,764.68/1,385.16
  6. Step 6: Final answer
    x = 1,811.90

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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.