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Finding the Fourth Proportional to 1,597.56, 2,205.53 and 1,038.52

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Solution

The fourth proportional to 1,597.56, 2,205.53 and 1,038.52 is: 1,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.56 : 2,205.53 = 1,038.52 : x
  2. Step 2: Convert to fraction form
    1,597.56/2,205.53 = 1,038.52/x
  3. Step 3: Cross multiply
    1,597.56x = 2,205.53 × 1,038.52
  4. Step 4: Simplify right side
    1,597.56x = 2,290,487.02
  5. Step 5: Solve for x
    x = 2,290,487.02/1,597.56
  6. Step 6: Final answer
    x = 1,433.74

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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.