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Finding the Fourth Proportional to 2,597.12, 3,584.48 and 1,534.84

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Solution

The fourth proportional to 2,597.12, 3,584.48 and 1,534.84 is: 2,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.12 : 3,584.48 = 1,534.84 : x
  2. Step 2: Convert to fraction form
    2,597.12/3,584.48 = 1,534.84/x
  3. Step 3: Cross multiply
    2,597.12x = 3,584.48 × 1,534.84
  4. Step 4: Simplify right side
    2,597.12x = 5,501,603.28
  5. Step 5: Solve for x
    x = 5,501,603.28/2,597.12
  6. Step 6: Final answer
    x = 2,118.35

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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.