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Finding the Fourth Proportional to 2,883.53, 4,322.74 and 1,058.25

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Solution

The fourth proportional to 2,883.53, 4,322.74 and 1,058.25 is: 1,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.53 : 4,322.74 = 1,058.25 : x
  2. Step 2: Convert to fraction form
    2,883.53/4,322.74 = 1,058.25/x
  3. Step 3: Cross multiply
    2,883.53x = 4,322.74 × 1,058.25
  4. Step 4: Simplify right side
    2,883.53x = 4,574,534.31
  5. Step 5: Solve for x
    x = 4,574,534.31/2,883.53
  6. Step 6: Final answer
    x = 1,586.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.