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Finding the Fourth Proportional to 1,677.46, 2,315.16 and 1,603.64

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Solution

The fourth proportional to 1,677.46, 2,315.16 and 1,603.64 is: 2,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.46 : 2,315.16 = 1,603.64 : x
  2. Step 2: Convert to fraction form
    1,677.46/2,315.16 = 1,603.64/x
  3. Step 3: Cross multiply
    1,677.46x = 2,315.16 × 1,603.64
  4. Step 4: Simplify right side
    1,677.46x = 3,712,683.18
  5. Step 5: Solve for x
    x = 3,712,683.18/1,677.46
  6. Step 6: Final answer
    x = 2,213.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.