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Finding the Fourth Proportional to 1,564.80, 2,345.76 and 1,392

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Solution

The fourth proportional to 1,564.80, 2,345.76 and 1,392 is: 2,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,345.76 = 1,392 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,345.76 = 1,392/x
  3. Step 3: Cross multiply
    1,564.80x = 2,345.76 × 1,392
  4. Step 4: Simplify right side
    1,564.80x = 3,265,297.92
  5. Step 5: Solve for x
    x = 3,265,297.92/1,564.80
  6. Step 6: Final answer
    x = 2,086.72

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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.