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Finding the Fourth Proportional to 2,492.42, 3,738.81 and 1,010.93

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Solution

The fourth proportional to 2,492.42, 3,738.81 and 1,010.93 is: 1,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.42 : 3,738.81 = 1,010.93 : x
  2. Step 2: Convert to fraction form
    2,492.42/3,738.81 = 1,010.93/x
  3. Step 3: Cross multiply
    2,492.42x = 3,738.81 × 1,010.93
  4. Step 4: Simplify right side
    2,492.42x = 3,779,656.50
  5. Step 5: Solve for x
    x = 3,779,656.50/2,492.42
  6. Step 6: Final answer
    x = 1,516.46

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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.