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Finding the Fourth Proportional to 1,477.35, 2,224.08 and 1,276.47

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Solution

The fourth proportional to 1,477.35, 2,224.08 and 1,276.47 is: 1,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.35 : 2,224.08 = 1,276.47 : x
  2. Step 2: Convert to fraction form
    1,477.35/2,224.08 = 1,276.47/x
  3. Step 3: Cross multiply
    1,477.35x = 2,224.08 × 1,276.47
  4. Step 4: Simplify right side
    1,477.35x = 2,838,971.40
  5. Step 5: Solve for x
    x = 2,838,971.40/1,477.35
  6. Step 6: Final answer
    x = 1,921.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.