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Finding the Fourth Proportional to 2,030.04, 3,045.04 and 569.18

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Solution

The fourth proportional to 2,030.04, 3,045.04 and 569.18 is: 853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.04 : 3,045.04 = 569.18 : x
  2. Step 2: Convert to fraction form
    2,030.04/3,045.04 = 569.18/x
  3. Step 3: Cross multiply
    2,030.04x = 3,045.04 × 569.18
  4. Step 4: Simplify right side
    2,030.04x = 1,733,182.06
  5. Step 5: Solve for x
    x = 1,733,182.06/2,030.04
  6. Step 6: Final answer
    x = 853.77

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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.