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Finding the Fourth Proportional to 1,599.74, 2,205.65 and 1,334.57

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Solution

The fourth proportional to 1,599.74, 2,205.65 and 1,334.57 is: 1,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.74 : 2,205.65 = 1,334.57 : x
  2. Step 2: Convert to fraction form
    1,599.74/2,205.65 = 1,334.57/x
  3. Step 3: Cross multiply
    1,599.74x = 2,205.65 × 1,334.57
  4. Step 4: Simplify right side
    1,599.74x = 2,943,586.63
  5. Step 5: Solve for x
    x = 2,943,586.63/1,599.74
  6. Step 6: Final answer
    x = 1,840.04

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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.