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Finding the Fourth Proportional to 1,875.60, 2,824.56 and 1,635.03

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Solution

The fourth proportional to 1,875.60, 2,824.56 and 1,635.03 is: 2,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.60 : 2,824.56 = 1,635.03 : x
  2. Step 2: Convert to fraction form
    1,875.60/2,824.56 = 1,635.03/x
  3. Step 3: Cross multiply
    1,875.60x = 2,824.56 × 1,635.03
  4. Step 4: Simplify right side
    1,875.60x = 4,618,240.34
  5. Step 5: Solve for x
    x = 4,618,240.34/1,875.60
  6. Step 6: Final answer
    x = 2,462.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.