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Finding the Fourth Proportional to 2,030.19, 3,045.80 and 569.35

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Solution

The fourth proportional to 2,030.19, 3,045.80 and 569.35 is: 854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.19 : 3,045.80 = 569.35 : x
  2. Step 2: Convert to fraction form
    2,030.19/3,045.80 = 569.35/x
  3. Step 3: Cross multiply
    2,030.19x = 3,045.80 × 569.35
  4. Step 4: Simplify right side
    2,030.19x = 1,734,126.23
  5. Step 5: Solve for x
    x = 1,734,126.23/2,030.19
  6. Step 6: Final answer
    x = 854.17

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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.