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Finding the Fourth Proportional to 1,541.60, 2,314.80 and 893.60

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Solution

The fourth proportional to 1,541.60, 2,314.80 and 893.60 is: 1,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.60 : 2,314.80 = 893.60 : x
  2. Step 2: Convert to fraction form
    1,541.60/2,314.80 = 893.60/x
  3. Step 3: Cross multiply
    1,541.60x = 2,314.80 × 893.60
  4. Step 4: Simplify right side
    1,541.60x = 2,068,505.28
  5. Step 5: Solve for x
    x = 2,068,505.28/1,541.60
  6. Step 6: Final answer
    x = 1,341.79

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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.