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Finding the Fourth Proportional to 1,370.32, 2,065.02 and 1,240.42

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Solution

The fourth proportional to 1,370.32, 2,065.02 and 1,240.42 is: 1,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.32 : 2,065.02 = 1,240.42 : x
  2. Step 2: Convert to fraction form
    1,370.32/2,065.02 = 1,240.42/x
  3. Step 3: Cross multiply
    1,370.32x = 2,065.02 × 1,240.42
  4. Step 4: Simplify right side
    1,370.32x = 2,561,492.11
  5. Step 5: Solve for x
    x = 2,561,492.11/1,370.32
  6. Step 6: Final answer
    x = 1,869.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.