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Finding the Fourth Proportional to 1,641.60, 2,461.28 and 776.64

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Solution

The fourth proportional to 1,641.60, 2,461.28 and 776.64 is: 1,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.60 : 2,461.28 = 776.64 : x
  2. Step 2: Convert to fraction form
    1,641.60/2,461.28 = 776.64/x
  3. Step 3: Cross multiply
    1,641.60x = 2,461.28 × 776.64
  4. Step 4: Simplify right side
    1,641.60x = 1,911,528.50
  5. Step 5: Solve for x
    x = 1,911,528.50/1,641.60
  6. Step 6: Final answer
    x = 1,164.43

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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.