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Finding the Fourth Proportional to 1,561.61, 2,152.06 and 1,118.75

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Solution

The fourth proportional to 1,561.61, 2,152.06 and 1,118.75 is: 1,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.61 : 2,152.06 = 1,118.75 : x
  2. Step 2: Convert to fraction form
    1,561.61/2,152.06 = 1,118.75/x
  3. Step 3: Cross multiply
    1,561.61x = 2,152.06 × 1,118.75
  4. Step 4: Simplify right side
    1,561.61x = 2,407,603.57
  5. Step 5: Solve for x
    x = 2,407,603.57/1,561.61
  6. Step 6: Final answer
    x = 1,541.74

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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.