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Finding the Fourth Proportional to 1,827.60, 2,564.40 and 1,827.60

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Solution

The fourth proportional to 1,827.60, 2,564.40 and 1,827.60 is: 2,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.60 : 2,564.40 = 1,827.60 : x
  2. Step 2: Convert to fraction form
    1,827.60/2,564.40 = 1,827.60/x
  3. Step 3: Cross multiply
    1,827.60x = 2,564.40 × 1,827.60
  4. Step 4: Simplify right side
    1,827.60x = 4,686,697.44
  5. Step 5: Solve for x
    x = 4,686,697.44/1,827.60
  6. Step 6: Final answer
    x = 2,564.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.