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Finding the Fourth Proportional to 2,030.42, 3,045.82 and 569.57

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Solution

The fourth proportional to 2,030.42, 3,045.82 and 569.57 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.42 : 3,045.82 = 569.57 : x
  2. Step 2: Convert to fraction form
    2,030.42/3,045.82 = 569.57/x
  3. Step 3: Cross multiply
    2,030.42x = 3,045.82 × 569.57
  4. Step 4: Simplify right side
    2,030.42x = 1,734,792.11
  5. Step 5: Solve for x
    x = 1,734,792.11/2,030.42
  6. Step 6: Final answer
    x = 854.40

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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.