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Finding the Fourth Proportional to 2,030.10, 3,045.14 and 569.21

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Solution

The fourth proportional to 2,030.10, 3,045.14 and 569.21 is: 853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.10 : 3,045.14 = 569.21 : x
  2. Step 2: Convert to fraction form
    2,030.10/3,045.14 = 569.21/x
  3. Step 3: Cross multiply
    2,030.10x = 3,045.14 × 569.21
  4. Step 4: Simplify right side
    2,030.10x = 1,733,306.07
  5. Step 5: Solve for x
    x = 1,733,306.07/2,030.10
  6. Step 6: Final answer
    x = 853.80

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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.