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Finding the Fourth Proportional to 1,429.41, 2,143.72 and 607.26

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Solution

The fourth proportional to 1,429.41, 2,143.72 and 607.26 is: 910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 2,143.72 = 607.26 : x
  2. Step 2: Convert to fraction form
    1,429.41/2,143.72 = 607.26/x
  3. Step 3: Cross multiply
    1,429.41x = 2,143.72 × 607.26
  4. Step 4: Simplify right side
    1,429.41x = 1,301,795.41
  5. Step 5: Solve for x
    x = 1,301,795.41/1,429.41
  6. Step 6: Final answer
    x = 910.72

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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.