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Finding the Fourth Proportional to 2,026.16, 3,038.98 and 545.49

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Solution

The fourth proportional to 2,026.16, 3,038.98 and 545.49 is: 818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.16 : 3,038.98 = 545.49 : x
  2. Step 2: Convert to fraction form
    2,026.16/3,038.98 = 545.49/x
  3. Step 3: Cross multiply
    2,026.16x = 3,038.98 × 545.49
  4. Step 4: Simplify right side
    2,026.16x = 1,657,733.20
  5. Step 5: Solve for x
    x = 1,657,733.20/2,026.16
  6. Step 6: Final answer
    x = 818.17

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Why These Related Problems?

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