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Finding the Fourth Proportional to 3,055.59, 4,581.67 and 975.11

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Solution

The fourth proportional to 3,055.59, 4,581.67 and 975.11 is: 1,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.59 : 4,581.67 = 975.11 : x
  2. Step 2: Convert to fraction form
    3,055.59/4,581.67 = 975.11/x
  3. Step 3: Cross multiply
    3,055.59x = 4,581.67 × 975.11
  4. Step 4: Simplify right side
    3,055.59x = 4,467,618.34
  5. Step 5: Solve for x
    x = 4,467,618.34/3,055.59
  6. Step 6: Final answer
    x = 1,462.11

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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.