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Finding the Fourth Proportional to 1,895.74, 2,844.10 and 597.22

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Solution

The fourth proportional to 1,895.74, 2,844.10 and 597.22 is: 895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.74 : 2,844.10 = 597.22 : x
  2. Step 2: Convert to fraction form
    1,895.74/2,844.10 = 597.22/x
  3. Step 3: Cross multiply
    1,895.74x = 2,844.10 × 597.22
  4. Step 4: Simplify right side
    1,895.74x = 1,698,553.40
  5. Step 5: Solve for x
    x = 1,698,553.40/1,895.74
  6. Step 6: Final answer
    x = 895.98

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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.