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Finding the Fourth Proportional to 1,661.33, 2,492.91 and 1,400.11

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Solution

The fourth proportional to 1,661.33, 2,492.91 and 1,400.11 is: 2,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.33 : 2,492.91 = 1,400.11 : x
  2. Step 2: Convert to fraction form
    1,661.33/2,492.91 = 1,400.11/x
  3. Step 3: Cross multiply
    1,661.33x = 2,492.91 × 1,400.11
  4. Step 4: Simplify right side
    1,661.33x = 3,490,341.99
  5. Step 5: Solve for x
    x = 3,490,341.99/1,661.33
  6. Step 6: Final answer
    x = 2,100.93

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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.