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Finding the Fourth Proportional to 2,088.04, 3,131.98 and 549

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Solution

The fourth proportional to 2,088.04, 3,131.98 and 549 is: 823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.04 : 3,131.98 = 549 : x
  2. Step 2: Convert to fraction form
    2,088.04/3,131.98 = 549/x
  3. Step 3: Cross multiply
    2,088.04x = 3,131.98 × 549
  4. Step 4: Simplify right side
    2,088.04x = 1,719,457.02
  5. Step 5: Solve for x
    x = 1,719,457.02/2,088.04
  6. Step 6: Final answer
    x = 823.48

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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.