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Finding the Fourth Proportional to 2,877.50, 4,324.46 and 1,417.68

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Solution

The fourth proportional to 2,877.50, 4,324.46 and 1,417.68 is: 2,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.50 : 4,324.46 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    2,877.50/4,324.46 = 1,417.68/x
  3. Step 3: Cross multiply
    2,877.50x = 4,324.46 × 1,417.68
  4. Step 4: Simplify right side
    2,877.50x = 6,130,700.45
  5. Step 5: Solve for x
    x = 6,130,700.45/2,877.50
  6. Step 6: Final answer
    x = 2,130.56

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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.