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Finding the Fourth Proportional to 1,707.37, 2,356.22 and 999.10

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Solution

The fourth proportional to 1,707.37, 2,356.22 and 999.10 is: 1,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.37 : 2,356.22 = 999.10 : x
  2. Step 2: Convert to fraction form
    1,707.37/2,356.22 = 999.10/x
  3. Step 3: Cross multiply
    1,707.37x = 2,356.22 × 999.10
  4. Step 4: Simplify right side
    1,707.37x = 2,354,099.40
  5. Step 5: Solve for x
    x = 2,354,099.40/1,707.37
  6. Step 6: Final answer
    x = 1,378.79

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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.