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Finding the Fourth Proportional to 1,882.34, 2,597.45 and 1,490.34

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Solution

The fourth proportional to 1,882.34, 2,597.45 and 1,490.34 is: 2,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.34 : 2,597.45 = 1,490.34 : x
  2. Step 2: Convert to fraction form
    1,882.34/2,597.45 = 1,490.34/x
  3. Step 3: Cross multiply
    1,882.34x = 2,597.45 × 1,490.34
  4. Step 4: Simplify right side
    1,882.34x = 3,871,083.63
  5. Step 5: Solve for x
    x = 3,871,083.63/1,882.34
  6. Step 6: Final answer
    x = 2,056.53

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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.