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Finding the Fourth Proportional to 2,867.94, 4,303.13 and 1,567.89

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Solution

The fourth proportional to 2,867.94, 4,303.13 and 1,567.89 is: 2,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.94 : 4,303.13 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    2,867.94/4,303.13 = 1,567.89/x
  3. Step 3: Cross multiply
    2,867.94x = 4,303.13 × 1,567.89
  4. Step 4: Simplify right side
    2,867.94x = 6,746,845.25
  5. Step 5: Solve for x
    x = 6,746,845.25/2,867.94
  6. Step 6: Final answer
    x = 2,352.50

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1.5x scale

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.