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Finding the Fourth Proportional to 2,030.56, 3,045.73 and 549.76

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Solution

The fourth proportional to 2,030.56, 3,045.73 and 549.76 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.56 : 3,045.73 = 549.76 : x
  2. Step 2: Convert to fraction form
    2,030.56/3,045.73 = 549.76/x
  3. Step 3: Cross multiply
    2,030.56x = 3,045.73 × 549.76
  4. Step 4: Simplify right side
    2,030.56x = 1,674,420.52
  5. Step 5: Solve for x
    x = 1,674,420.52/2,030.56
  6. Step 6: Final answer
    x = 824.61

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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.