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Finding the Fourth Proportional to 3,070.66, 4,606.63 and 1,018.50

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Solution

The fourth proportional to 3,070.66, 4,606.63 and 1,018.50 is: 1,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.66 : 4,606.63 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    3,070.66/4,606.63 = 1,018.50/x
  3. Step 3: Cross multiply
    3,070.66x = 4,606.63 × 1,018.50
  4. Step 4: Simplify right side
    3,070.66x = 4,691,852.66
  5. Step 5: Solve for x
    x = 4,691,852.66/3,070.66
  6. Step 6: Final answer
    x = 1,527.96

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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.