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Finding the Fourth Proportional to 1,592.09, 2,197.08 and 893.48

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Solution

The fourth proportional to 1,592.09, 2,197.08 and 893.48 is: 1,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.09 : 2,197.08 = 893.48 : x
  2. Step 2: Convert to fraction form
    1,592.09/2,197.08 = 893.48/x
  3. Step 3: Cross multiply
    1,592.09x = 2,197.08 × 893.48
  4. Step 4: Simplify right side
    1,592.09x = 1,963,047.04
  5. Step 5: Solve for x
    x = 1,963,047.04/1,592.09
  6. Step 6: Final answer
    x = 1,233.00

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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.