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Finding the Fourth Proportional to 1,417.67, 2,125.93 and 493.03

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Solution

The fourth proportional to 1,417.67, 2,125.93 and 493.03 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.67 : 2,125.93 = 493.03 : x
  2. Step 2: Convert to fraction form
    1,417.67/2,125.93 = 493.03/x
  3. Step 3: Cross multiply
    1,417.67x = 2,125.93 × 493.03
  4. Step 4: Simplify right side
    1,417.67x = 1,048,146.04
  5. Step 5: Solve for x
    x = 1,048,146.04/1,417.67
  6. Step 6: Final answer
    x = 739.35

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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.