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Finding the Fourth Proportional to 2,328.09, 3,492.06 and 573.11

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Solution

The fourth proportional to 2,328.09, 3,492.06 and 573.11 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.09 : 3,492.06 = 573.11 : x
  2. Step 2: Convert to fraction form
    2,328.09/3,492.06 = 573.11/x
  3. Step 3: Cross multiply
    2,328.09x = 3,492.06 × 573.11
  4. Step 4: Simplify right side
    2,328.09x = 2,001,317.05
  5. Step 5: Solve for x
    x = 2,001,317.05/2,328.09
  6. Step 6: Final answer
    x = 859.64

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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.