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Finding the Fourth Proportional to 1,566.61, 2,159.93 and 1,119.02

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Solution

The fourth proportional to 1,566.61, 2,159.93 and 1,119.02 is: 1,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.61 : 2,159.93 = 1,119.02 : x
  2. Step 2: Convert to fraction form
    1,566.61/2,159.93 = 1,119.02/x
  3. Step 3: Cross multiply
    1,566.61x = 2,159.93 × 1,119.02
  4. Step 4: Simplify right side
    1,566.61x = 2,416,998.82
  5. Step 5: Solve for x
    x = 2,416,998.82/1,566.61
  6. Step 6: Final answer
    x = 1,542.82

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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.