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Finding the Fourth Proportional to 1,678.42, 2,506.32 and 1,370.88

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Solution

The fourth proportional to 1,678.42, 2,506.32 and 1,370.88 is: 2,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.42 : 2,506.32 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    1,678.42/2,506.32 = 1,370.88/x
  3. Step 3: Cross multiply
    1,678.42x = 2,506.32 × 1,370.88
  4. Step 4: Simplify right side
    1,678.42x = 3,435,851.43
  5. Step 5: Solve for x
    x = 3,435,851.43/1,678.42
  6. Step 6: Final answer
    x = 2,047.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.