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Finding the Fourth Proportional to 1,483.25, 2,047.83 and 924.54

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Solution

The fourth proportional to 1,483.25, 2,047.83 and 924.54 is: 1,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.25 : 2,047.83 = 924.54 : x
  2. Step 2: Convert to fraction form
    1,483.25/2,047.83 = 924.54/x
  3. Step 3: Cross multiply
    1,483.25x = 2,047.83 × 924.54
  4. Step 4: Simplify right side
    1,483.25x = 1,893,300.75
  5. Step 5: Solve for x
    x = 1,893,300.75/1,483.25
  6. Step 6: Final answer
    x = 1,276.45

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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.