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Finding the Fourth Proportional to 1,720.02, 2,580.21 and 549.75

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Solution

The fourth proportional to 1,720.02, 2,580.21 and 549.75 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.02 : 2,580.21 = 549.75 : x
  2. Step 2: Convert to fraction form
    1,720.02/2,580.21 = 549.75/x
  3. Step 3: Cross multiply
    1,720.02x = 2,580.21 × 549.75
  4. Step 4: Simplify right side
    1,720.02x = 1,418,457.55
  5. Step 5: Solve for x
    x = 1,418,457.55/1,720.02
  6. Step 6: Final answer
    x = 824.68

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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.