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Finding the Fourth Proportional to 1,746.90, 2,620.62 and 1,424.52

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Solution

The fourth proportional to 1,746.90, 2,620.62 and 1,424.52 is: 2,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.90 : 2,620.62 = 1,424.52 : x
  2. Step 2: Convert to fraction form
    1,746.90/2,620.62 = 1,424.52/x
  3. Step 3: Cross multiply
    1,746.90x = 2,620.62 × 1,424.52
  4. Step 4: Simplify right side
    1,746.90x = 3,733,125.60
  5. Step 5: Solve for x
    x = 3,733,125.60/1,746.90
  6. Step 6: Final answer
    x = 2,137.00

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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.