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Finding the Fourth Proportional to 1,583.16, 2,184.76 and 884.53

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Solution

The fourth proportional to 1,583.16, 2,184.76 and 884.53 is: 1,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.16 : 2,184.76 = 884.53 : x
  2. Step 2: Convert to fraction form
    1,583.16/2,184.76 = 884.53/x
  3. Step 3: Cross multiply
    1,583.16x = 2,184.76 × 884.53
  4. Step 4: Simplify right side
    1,583.16x = 1,932,485.76
  5. Step 5: Solve for x
    x = 1,932,485.76/1,583.16
  6. Step 6: Final answer
    x = 1,220.65

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1.5x scale

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.