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Finding the Fourth Proportional to 2,377.81, 3,566.30 and 646.03

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Solution

The fourth proportional to 2,377.81, 3,566.30 and 646.03 is: 968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.81 : 3,566.30 = 646.03 : x
  2. Step 2: Convert to fraction form
    2,377.81/3,566.30 = 646.03/x
  3. Step 3: Cross multiply
    2,377.81x = 3,566.30 × 646.03
  4. Step 4: Simplify right side
    2,377.81x = 2,303,938.02
  5. Step 5: Solve for x
    x = 2,303,938.02/2,377.81
  6. Step 6: Final answer
    x = 968.93

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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.