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Finding the Fourth Proportional to 1,599.49, 2,403.29 and 1,534.69

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Solution

The fourth proportional to 1,599.49, 2,403.29 and 1,534.69 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.49 : 2,403.29 = 1,534.69 : x
  2. Step 2: Convert to fraction form
    1,599.49/2,403.29 = 1,534.69/x
  3. Step 3: Cross multiply
    1,599.49x = 2,403.29 × 1,534.69
  4. Step 4: Simplify right side
    1,599.49x = 3,688,305.13
  5. Step 5: Solve for x
    x = 3,688,305.13/1,599.49
  6. Step 6: Final answer
    x = 2,305.93

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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.