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Finding the Fourth Proportional to 1,860.50, 2,567.50 and 1,032.50

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Solution

The fourth proportional to 1,860.50, 2,567.50 and 1,032.50 is: 1,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.50 : 2,567.50 = 1,032.50 : x
  2. Step 2: Convert to fraction form
    1,860.50/2,567.50 = 1,032.50/x
  3. Step 3: Cross multiply
    1,860.50x = 2,567.50 × 1,032.50
  4. Step 4: Simplify right side
    1,860.50x = 2,650,943.75
  5. Step 5: Solve for x
    x = 2,650,943.75/1,860.50
  6. Step 6: Final answer
    x = 1,424.86

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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.