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Finding the Fourth Proportional to 1,566.45, 2,347.98 and 1,019.02

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Solution

The fourth proportional to 1,566.45, 2,347.98 and 1,019.02 is: 1,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.45 : 2,347.98 = 1,019.02 : x
  2. Step 2: Convert to fraction form
    1,566.45/2,347.98 = 1,019.02/x
  3. Step 3: Cross multiply
    1,566.45x = 2,347.98 × 1,019.02
  4. Step 4: Simplify right side
    1,566.45x = 2,392,638.58
  5. Step 5: Solve for x
    x = 2,392,638.58/1,566.45
  6. Step 6: Final answer
    x = 1,527.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.