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Finding the Fourth Proportional to 2,742.51, 4,113.87 and 893.64

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Solution

The fourth proportional to 2,742.51, 4,113.87 and 893.64 is: 1,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.51 : 4,113.87 = 893.64 : x
  2. Step 2: Convert to fraction form
    2,742.51/4,113.87 = 893.64/x
  3. Step 3: Cross multiply
    2,742.51x = 4,113.87 × 893.64
  4. Step 4: Simplify right side
    2,742.51x = 3,676,312.75
  5. Step 5: Solve for x
    x = 3,676,312.75/2,742.51
  6. Step 6: Final answer
    x = 1,340.49

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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.