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Finding the Fourth Proportional to 1,782.43, 2,459.26 and 1,152.98

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Solution

The fourth proportional to 1,782.43, 2,459.26 and 1,152.98 is: 1,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.43 : 2,459.26 = 1,152.98 : x
  2. Step 2: Convert to fraction form
    1,782.43/2,459.26 = 1,152.98/x
  3. Step 3: Cross multiply
    1,782.43x = 2,459.26 × 1,152.98
  4. Step 4: Simplify right side
    1,782.43x = 2,835,477.59
  5. Step 5: Solve for x
    x = 2,835,477.59/1,782.43
  6. Step 6: Final answer
    x = 1,590.79

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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.