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Finding the Fourth Proportional to 3,066.48, 4,598.76 and 875.28

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Solution

The fourth proportional to 3,066.48, 4,598.76 and 875.28 is: 1,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.48 : 4,598.76 = 875.28 : x
  2. Step 2: Convert to fraction form
    3,066.48/4,598.76 = 875.28/x
  3. Step 3: Cross multiply
    3,066.48x = 4,598.76 × 875.28
  4. Step 4: Simplify right side
    3,066.48x = 4,025,202.65
  5. Step 5: Solve for x
    x = 4,025,202.65/3,066.48
  6. Step 6: Final answer
    x = 1,312.65

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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.