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Finding the Fourth Proportional to 2,607.90, 3,598.91 and 1,429.03

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Solution

The fourth proportional to 2,607.90, 3,598.91 and 1,429.03 is: 1,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.90 : 3,598.91 = 1,429.03 : x
  2. Step 2: Convert to fraction form
    2,607.90/3,598.91 = 1,429.03/x
  3. Step 3: Cross multiply
    2,607.90x = 3,598.91 × 1,429.03
  4. Step 4: Simplify right side
    2,607.90x = 5,142,950.36
  5. Step 5: Solve for x
    x = 5,142,950.36/2,607.90
  6. Step 6: Final answer
    x = 1,972.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.