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Finding the Fourth Proportional to 1,402.64, 2,102.52 and 671.12

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Solution

The fourth proportional to 1,402.64, 2,102.52 and 671.12 is: 1,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.64 : 2,102.52 = 671.12 : x
  2. Step 2: Convert to fraction form
    1,402.64/2,102.52 = 671.12/x
  3. Step 3: Cross multiply
    1,402.64x = 2,102.52 × 671.12
  4. Step 4: Simplify right side
    1,402.64x = 1,411,043.22
  5. Step 5: Solve for x
    x = 1,411,043.22/1,402.64
  6. Step 6: Final answer
    x = 1,005.99

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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.