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Finding the Fourth Proportional to 2,030.16, 3,045.19 and 549.38

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Solution

The fourth proportional to 2,030.16, 3,045.19 and 549.38 is: 824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.16 : 3,045.19 = 549.38 : x
  2. Step 2: Convert to fraction form
    2,030.16/3,045.19 = 549.38/x
  3. Step 3: Cross multiply
    2,030.16x = 3,045.19 × 549.38
  4. Step 4: Simplify right side
    2,030.16x = 1,672,966.48
  5. Step 5: Solve for x
    x = 1,672,966.48/2,030.16
  6. Step 6: Final answer
    x = 824.06

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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.