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Finding the Fourth Proportional to 1,753.90, 2,415.46 and 1,715.63

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Solution

The fourth proportional to 1,753.90, 2,415.46 and 1,715.63 is: 2,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.90 : 2,415.46 = 1,715.63 : x
  2. Step 2: Convert to fraction form
    1,753.90/2,415.46 = 1,715.63/x
  3. Step 3: Cross multiply
    1,753.90x = 2,415.46 × 1,715.63
  4. Step 4: Simplify right side
    1,753.90x = 4,144,029.60
  5. Step 5: Solve for x
    x = 4,144,029.60/1,753.90
  6. Step 6: Final answer
    x = 2,362.75

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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.