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Finding the Fourth Proportional to 1,859.12, 2,782.92 and 1,470.32

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Solution

The fourth proportional to 1,859.12, 2,782.92 and 1,470.32 is: 2,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.12 : 2,782.92 = 1,470.32 : x
  2. Step 2: Convert to fraction form
    1,859.12/2,782.92 = 1,470.32/x
  3. Step 3: Cross multiply
    1,859.12x = 2,782.92 × 1,470.32
  4. Step 4: Simplify right side
    1,859.12x = 4,091,782.93
  5. Step 5: Solve for x
    x = 4,091,782.93/1,859.12
  6. Step 6: Final answer
    x = 2,200.92

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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.