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Finding the Fourth Proportional to 1,652.81, 2,280.09 and 989.53

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Solution

The fourth proportional to 1,652.81, 2,280.09 and 989.53 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.81 : 2,280.09 = 989.53 : x
  2. Step 2: Convert to fraction form
    1,652.81/2,280.09 = 989.53/x
  3. Step 3: Cross multiply
    1,652.81x = 2,280.09 × 989.53
  4. Step 4: Simplify right side
    1,652.81x = 2,256,212.51
  5. Step 5: Solve for x
    x = 2,256,212.51/1,652.81
  6. Step 6: Final answer
    x = 1,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.