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Finding the Fourth Proportional to 1,705.06, 2,352.54 and 1,041.68

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Solution

The fourth proportional to 1,705.06, 2,352.54 and 1,041.68 is: 1,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.06 : 2,352.54 = 1,041.68 : x
  2. Step 2: Convert to fraction form
    1,705.06/2,352.54 = 1,041.68/x
  3. Step 3: Cross multiply
    1,705.06x = 2,352.54 × 1,041.68
  4. Step 4: Simplify right side
    1,705.06x = 2,450,593.87
  5. Step 5: Solve for x
    x = 2,450,593.87/1,705.06
  6. Step 6: Final answer
    x = 1,437.25

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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.