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Finding the Fourth Proportional to 2,030.34, 3,045.58 and 569.50

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Solution

The fourth proportional to 2,030.34, 3,045.58 and 569.50 is: 854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.34 : 3,045.58 = 569.50 : x
  2. Step 2: Convert to fraction form
    2,030.34/3,045.58 = 569.50/x
  3. Step 3: Cross multiply
    2,030.34x = 3,045.58 × 569.50
  4. Step 4: Simplify right side
    2,030.34x = 1,734,448.77
  5. Step 5: Solve for x
    x = 1,734,448.77/2,030.34
  6. Step 6: Final answer
    x = 854.26

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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.