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Finding the Fourth Proportional to 2,531.03, 3,492.39 and 1,411.93

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Solution

The fourth proportional to 2,531.03, 3,492.39 and 1,411.93 is: 1,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.03 : 3,492.39 = 1,411.93 : x
  2. Step 2: Convert to fraction form
    2,531.03/3,492.39 = 1,411.93/x
  3. Step 3: Cross multiply
    2,531.03x = 3,492.39 × 1,411.93
  4. Step 4: Simplify right side
    2,531.03x = 4,931,019.87
  5. Step 5: Solve for x
    x = 4,931,019.87/2,531.03
  6. Step 6: Final answer
    x = 1,948.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.