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Finding the Fourth Proportional to 1,708.24, 2,368.24 and 1,648.18

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Solution

The fourth proportional to 1,708.24, 2,368.24 and 1,648.18 is: 2,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.24 : 2,368.24 = 1,648.18 : x
  2. Step 2: Convert to fraction form
    1,708.24/2,368.24 = 1,648.18/x
  3. Step 3: Cross multiply
    1,708.24x = 2,368.24 × 1,648.18
  4. Step 4: Simplify right side
    1,708.24x = 3,903,285.80
  5. Step 5: Solve for x
    x = 3,903,285.80/1,708.24
  6. Step 6: Final answer
    x = 2,284.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.