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Finding the Fourth Proportional to 2,597.47, 3,584.59 and 1,712.61

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Solution

The fourth proportional to 2,597.47, 3,584.59 and 1,712.61 is: 2,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.47 : 3,584.59 = 1,712.61 : x
  2. Step 2: Convert to fraction form
    2,597.47/3,584.59 = 1,712.61/x
  3. Step 3: Cross multiply
    2,597.47x = 3,584.59 × 1,712.61
  4. Step 4: Simplify right side
    2,597.47x = 6,139,000.40
  5. Step 5: Solve for x
    x = 6,139,000.40/2,597.47
  6. Step 6: Final answer
    x = 2,363.46

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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.