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Finding the Fourth Proportional to 1,599.08, 2,205.93 and 1,377.64

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Solution

The fourth proportional to 1,599.08, 2,205.93 and 1,377.64 is: 1,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.08 : 2,205.93 = 1,377.64 : x
  2. Step 2: Convert to fraction form
    1,599.08/2,205.93 = 1,377.64/x
  3. Step 3: Cross multiply
    1,599.08x = 2,205.93 × 1,377.64
  4. Step 4: Simplify right side
    1,599.08x = 3,038,985.33
  5. Step 5: Solve for x
    x = 3,038,985.33/1,599.08
  6. Step 6: Final answer
    x = 1,900.46

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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.