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Finding the Fourth Proportional to 1,607.09, 2,218.41 and 1,009.62

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Solution

The fourth proportional to 1,607.09, 2,218.41 and 1,009.62 is: 1,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.09 : 2,218.41 = 1,009.62 : x
  2. Step 2: Convert to fraction form
    1,607.09/2,218.41 = 1,009.62/x
  3. Step 3: Cross multiply
    1,607.09x = 2,218.41 × 1,009.62
  4. Step 4: Simplify right side
    1,607.09x = 2,239,751.10
  5. Step 5: Solve for x
    x = 2,239,751.10/1,607.09
  6. Step 6: Final answer
    x = 1,393.67

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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.