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Finding the Fourth Proportional to 2,973.53, 4,460.36 and 893.58

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Solution

The fourth proportional to 2,973.53, 4,460.36 and 893.58 is: 1,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.53 : 4,460.36 = 893.58 : x
  2. Step 2: Convert to fraction form
    2,973.53/4,460.36 = 893.58/x
  3. Step 3: Cross multiply
    2,973.53x = 4,460.36 × 893.58
  4. Step 4: Simplify right side
    2,973.53x = 3,985,684.02
  5. Step 5: Solve for x
    x = 3,985,684.02/2,973.53
  6. Step 6: Final answer
    x = 1,340.39

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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.