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Finding the Fourth Proportional to 1,416.80, 2,124.38 and 583.62

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Solution

The fourth proportional to 1,416.80, 2,124.38 and 583.62 is: 875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.80 : 2,124.38 = 583.62 : x
  2. Step 2: Convert to fraction form
    1,416.80/2,124.38 = 583.62/x
  3. Step 3: Cross multiply
    1,416.80x = 2,124.38 × 583.62
  4. Step 4: Simplify right side
    1,416.80x = 1,239,830.66
  5. Step 5: Solve for x
    x = 1,239,830.66/1,416.80
  6. Step 6: Final answer
    x = 875.09

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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.