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Finding the Fourth Proportional to 1,675.02, 2,512.64 and 442.46

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Solution

The fourth proportional to 1,675.02, 2,512.64 and 442.46 is: 663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.02 : 2,512.64 = 442.46 : x
  2. Step 2: Convert to fraction form
    1,675.02/2,512.64 = 442.46/x
  3. Step 3: Cross multiply
    1,675.02x = 2,512.64 × 442.46
  4. Step 4: Simplify right side
    1,675.02x = 1,111,742.69
  5. Step 5: Solve for x
    x = 1,111,742.69/1,675.02
  6. Step 6: Final answer
    x = 663.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.