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Finding the Fourth Proportional to 1,895.43, 2,615.54 and 1,056.09

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Solution

The fourth proportional to 1,895.43, 2,615.54 and 1,056.09 is: 1,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.43 : 2,615.54 = 1,056.09 : x
  2. Step 2: Convert to fraction form
    1,895.43/2,615.54 = 1,056.09/x
  3. Step 3: Cross multiply
    1,895.43x = 2,615.54 × 1,056.09
  4. Step 4: Simplify right side
    1,895.43x = 2,762,240.36
  5. Step 5: Solve for x
    x = 2,762,240.36/1,895.43
  6. Step 6: Final answer
    x = 1,457.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.