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Finding the Fourth Proportional to 1,752.61, 2,626.18 and 1,477.42

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Solution

The fourth proportional to 1,752.61, 2,626.18 and 1,477.42 is: 2,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.61 : 2,626.18 = 1,477.42 : x
  2. Step 2: Convert to fraction form
    1,752.61/2,626.18 = 1,477.42/x
  3. Step 3: Cross multiply
    1,752.61x = 2,626.18 × 1,477.42
  4. Step 4: Simplify right side
    1,752.61x = 3,879,970.86
  5. Step 5: Solve for x
    x = 3,879,970.86/1,752.61
  6. Step 6: Final answer
    x = 2,213.82

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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.