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Finding the Fourth Proportional to 2,281.32, 3,420.61 and 893.01

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Solution

The fourth proportional to 2,281.32, 3,420.61 and 893.01 is: 1,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.32 : 3,420.61 = 893.01 : x
  2. Step 2: Convert to fraction form
    2,281.32/3,420.61 = 893.01/x
  3. Step 3: Cross multiply
    2,281.32x = 3,420.61 × 893.01
  4. Step 4: Simplify right side
    2,281.32x = 3,054,638.94
  5. Step 5: Solve for x
    x = 3,054,638.94/2,281.32
  6. Step 6: Final answer
    x = 1,338.98

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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.