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Finding the Fourth Proportional to 2,328.44, 3,492.59 and 597.06

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Solution

The fourth proportional to 2,328.44, 3,492.59 and 597.06 is: 895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.44 : 3,492.59 = 597.06 : x
  2. Step 2: Convert to fraction form
    2,328.44/3,492.59 = 597.06/x
  3. Step 3: Cross multiply
    2,328.44x = 3,492.59 × 597.06
  4. Step 4: Simplify right side
    2,328.44x = 2,085,282.80
  5. Step 5: Solve for x
    x = 2,085,282.80/2,328.44
  6. Step 6: Final answer
    x = 895.57

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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.