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Finding the Fourth Proportional to 3,038.18, 4,557.26 and 846.90

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Solution

The fourth proportional to 3,038.18, 4,557.26 and 846.90 is: 1,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.18 : 4,557.26 = 846.90 : x
  2. Step 2: Convert to fraction form
    3,038.18/4,557.26 = 846.90/x
  3. Step 3: Cross multiply
    3,038.18x = 4,557.26 × 846.90
  4. Step 4: Simplify right side
    3,038.18x = 3,859,543.49
  5. Step 5: Solve for x
    x = 3,859,543.49/3,038.18
  6. Step 6: Final answer
    x = 1,270.35

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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.