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Finding the Fourth Proportional to 1,877.79, 2,812.46 and 904.62

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Solution

The fourth proportional to 1,877.79, 2,812.46 and 904.62 is: 1,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.79 : 2,812.46 = 904.62 : x
  2. Step 2: Convert to fraction form
    1,877.79/2,812.46 = 904.62/x
  3. Step 3: Cross multiply
    1,877.79x = 2,812.46 × 904.62
  4. Step 4: Simplify right side
    1,877.79x = 2,544,203.04
  5. Step 5: Solve for x
    x = 2,544,203.04/1,877.79
  6. Step 6: Final answer
    x = 1,354.89

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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.