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Finding the Fourth Proportional to 1,776.58, 2,437.21 and 1,670.57

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Solution

The fourth proportional to 1,776.58, 2,437.21 and 1,670.57 is: 2,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.58 : 2,437.21 = 1,670.57 : x
  2. Step 2: Convert to fraction form
    1,776.58/2,437.21 = 1,670.57/x
  3. Step 3: Cross multiply
    1,776.58x = 2,437.21 × 1,670.57
  4. Step 4: Simplify right side
    1,776.58x = 4,071,513.55
  5. Step 5: Solve for x
    x = 4,071,513.55/1,776.58
  6. Step 6: Final answer
    x = 2,291.77

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