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Finding the Fourth Proportional to 1,499.77, 2,069.90 and 910.19

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Solution

The fourth proportional to 1,499.77, 2,069.90 and 910.19 is: 1,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.77 : 2,069.90 = 910.19 : x
  2. Step 2: Convert to fraction form
    1,499.77/2,069.90 = 910.19/x
  3. Step 3: Cross multiply
    1,499.77x = 2,069.90 × 910.19
  4. Step 4: Simplify right side
    1,499.77x = 1,883,999.79
  5. Step 5: Solve for x
    x = 1,883,999.79/1,499.77
  6. Step 6: Final answer
    x = 1,256.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.