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Finding the Fourth Proportional to 1,735.66, 2,601.06 and 1,478.08

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Solution

The fourth proportional to 1,735.66, 2,601.06 and 1,478.08 is: 2,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.66 : 2,601.06 = 1,478.08 : x
  2. Step 2: Convert to fraction form
    1,735.66/2,601.06 = 1,478.08/x
  3. Step 3: Cross multiply
    1,735.66x = 2,601.06 × 1,478.08
  4. Step 4: Simplify right side
    1,735.66x = 3,844,574.76
  5. Step 5: Solve for x
    x = 3,844,574.76/1,735.66
  6. Step 6: Final answer
    x = 2,215.05

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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.