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Finding the Fourth Proportional to 3,038.50, 4,560.18 and 1,578.07

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Solution

The fourth proportional to 3,038.50, 4,560.18 and 1,578.07 is: 2,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.50 : 4,560.18 = 1,578.07 : x
  2. Step 2: Convert to fraction form
    3,038.50/4,560.18 = 1,578.07/x
  3. Step 3: Cross multiply
    3,038.50x = 4,560.18 × 1,578.07
  4. Step 4: Simplify right side
    3,038.50x = 7,196,283.25
  5. Step 5: Solve for x
    x = 7,196,283.25/3,038.50
  6. Step 6: Final answer
    x = 2,368.37

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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.