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Finding the Fourth Proportional to 1,895.94, 2,844.45 and 597.51

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Solution

The fourth proportional to 1,895.94, 2,844.45 and 597.51 is: 896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.94 : 2,844.45 = 597.51 : x
  2. Step 2: Convert to fraction form
    1,895.94/2,844.45 = 597.51/x
  3. Step 3: Cross multiply
    1,895.94x = 2,844.45 × 597.51
  4. Step 4: Simplify right side
    1,895.94x = 1,699,587.32
  5. Step 5: Solve for x
    x = 1,699,587.32/1,895.94
  6. Step 6: Final answer
    x = 896.44

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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.