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Finding the Fourth Proportional to 2,030.51, 3,045.95 and 569.66

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Solution

The fourth proportional to 2,030.51, 3,045.95 and 569.66 is: 854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.51 : 3,045.95 = 569.66 : x
  2. Step 2: Convert to fraction form
    2,030.51/3,045.95 = 569.66/x
  3. Step 3: Cross multiply
    2,030.51x = 3,045.95 × 569.66
  4. Step 4: Simplify right side
    2,030.51x = 1,735,155.88
  5. Step 5: Solve for x
    x = 1,735,155.88/2,030.51
  6. Step 6: Final answer
    x = 854.54

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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.