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Finding the Fourth Proportional to 1,652.66, 2,280.66 and 954.03

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Solution

The fourth proportional to 1,652.66, 2,280.66 and 954.03 is: 1,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.66 : 2,280.66 = 954.03 : x
  2. Step 2: Convert to fraction form
    1,652.66/2,280.66 = 954.03/x
  3. Step 3: Cross multiply
    1,652.66x = 2,280.66 × 954.03
  4. Step 4: Simplify right side
    1,652.66x = 2,175,818.06
  5. Step 5: Solve for x
    x = 2,175,818.06/1,652.66
  6. Step 6: Final answer
    x = 1,316.56

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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.