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Finding the Fourth Proportional to 3,066.54, 4,599.75 and 875.25

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Solution

The fourth proportional to 3,066.54, 4,599.75 and 875.25 is: 1,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.54 : 4,599.75 = 875.25 : x
  2. Step 2: Convert to fraction form
    3,066.54/4,599.75 = 875.25/x
  3. Step 3: Cross multiply
    3,066.54x = 4,599.75 × 875.25
  4. Step 4: Simplify right side
    3,066.54x = 4,025,931.19
  5. Step 5: Solve for x
    x = 4,025,931.19/3,066.54
  6. Step 6: Final answer
    x = 1,312.86

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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.