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Finding the Fourth Proportional to 2,526.81, 3,486.74 and 1,407.70

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Solution

The fourth proportional to 2,526.81, 3,486.74 and 1,407.70 is: 1,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.81 : 3,486.74 = 1,407.70 : x
  2. Step 2: Convert to fraction form
    2,526.81/3,486.74 = 1,407.70/x
  3. Step 3: Cross multiply
    2,526.81x = 3,486.74 × 1,407.70
  4. Step 4: Simplify right side
    2,526.81x = 4,908,283.90
  5. Step 5: Solve for x
    x = 4,908,283.90/2,526.81
  6. Step 6: Final answer
    x = 1,942.48

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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.