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Finding the Fourth Proportional to 1,877.34, 2,816.63 and 903.32

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Solution

The fourth proportional to 1,877.34, 2,816.63 and 903.32 is: 1,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.34 : 2,816.63 = 903.32 : x
  2. Step 2: Convert to fraction form
    1,877.34/2,816.63 = 903.32/x
  3. Step 3: Cross multiply
    1,877.34x = 2,816.63 × 903.32
  4. Step 4: Simplify right side
    1,877.34x = 2,544,299.61
  5. Step 5: Solve for x
    x = 2,544,299.61/1,877.34
  6. Step 6: Final answer
    x = 1,355.27

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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.