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Finding the Fourth Proportional to 1,598.15, 2,206.06 and 935.01

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Solution

The fourth proportional to 1,598.15, 2,206.06 and 935.01 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.15 : 2,206.06 = 935.01 : x
  2. Step 2: Convert to fraction form
    1,598.15/2,206.06 = 935.01/x
  3. Step 3: Cross multiply
    1,598.15x = 2,206.06 × 935.01
  4. Step 4: Simplify right side
    1,598.15x = 2,062,685.82
  5. Step 5: Solve for x
    x = 2,062,685.82/1,598.15
  6. Step 6: Final answer
    x = 1,290.67

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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.