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Finding the Fourth Proportional to 1,756.60, 2,425.08 and 1,314.34

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Solution

The fourth proportional to 1,756.60, 2,425.08 and 1,314.34 is: 1,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.60 : 2,425.08 = 1,314.34 : x
  2. Step 2: Convert to fraction form
    1,756.60/2,425.08 = 1,314.34/x
  3. Step 3: Cross multiply
    1,756.60x = 2,425.08 × 1,314.34
  4. Step 4: Simplify right side
    1,756.60x = 3,187,379.65
  5. Step 5: Solve for x
    x = 3,187,379.65/1,756.60
  6. Step 6: Final answer
    x = 1,814.52

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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.