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Finding the Fourth Proportional to 2,854.51, 4,280.99 and 1,004.62

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Solution

The fourth proportional to 2,854.51, 4,280.99 and 1,004.62 is: 1,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.51 : 4,280.99 = 1,004.62 : x
  2. Step 2: Convert to fraction form
    2,854.51/4,280.99 = 1,004.62/x
  3. Step 3: Cross multiply
    2,854.51x = 4,280.99 × 1,004.62
  4. Step 4: Simplify right side
    2,854.51x = 4,300,768.17
  5. Step 5: Solve for x
    x = 4,300,768.17/2,854.51
  6. Step 6: Final answer
    x = 1,506.66

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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.