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Finding the Fourth Proportional to 1,364.48, 1,870.74 and 1,339.90

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Solution

The fourth proportional to 1,364.48, 1,870.74 and 1,339.90 is: 1,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.48 : 1,870.74 = 1,339.90 : x
  2. Step 2: Convert to fraction form
    1,364.48/1,870.74 = 1,339.90/x
  3. Step 3: Cross multiply
    1,364.48x = 1,870.74 × 1,339.90
  4. Step 4: Simplify right side
    1,364.48x = 2,506,604.53
  5. Step 5: Solve for x
    x = 2,506,604.53/1,364.48
  6. Step 6: Final answer
    x = 1,837.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.