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Finding the Fourth Proportional to 1,477.49, 2,214.62 and 746.06

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Solution

The fourth proportional to 1,477.49, 2,214.62 and 746.06 is: 1,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.49 : 2,214.62 = 746.06 : x
  2. Step 2: Convert to fraction form
    1,477.49/2,214.62 = 746.06/x
  3. Step 3: Cross multiply
    1,477.49x = 2,214.62 × 746.06
  4. Step 4: Simplify right side
    1,477.49x = 1,652,235.67
  5. Step 5: Solve for x
    x = 1,652,235.67/1,477.49
  6. Step 6: Final answer
    x = 1,118.27

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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.