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Finding the Fourth Proportional to 1,535.61, 2,304.23 and 669.99

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Solution

The fourth proportional to 1,535.61, 2,304.23 and 669.99 is: 1,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.61 : 2,304.23 = 669.99 : x
  2. Step 2: Convert to fraction form
    1,535.61/2,304.23 = 669.99/x
  3. Step 3: Cross multiply
    1,535.61x = 2,304.23 × 669.99
  4. Step 4: Simplify right side
    1,535.61x = 1,543,811.06
  5. Step 5: Solve for x
    x = 1,543,811.06/1,535.61
  6. Step 6: Final answer
    x = 1,005.34

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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.