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Finding the Fourth Proportional to 1,561.01, 2,152.77 and 1,036.13

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Solution

The fourth proportional to 1,561.01, 2,152.77 and 1,036.13 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.01 : 2,152.77 = 1,036.13 : x
  2. Step 2: Convert to fraction form
    1,561.01/2,152.77 = 1,036.13/x
  3. Step 3: Cross multiply
    1,561.01x = 2,152.77 × 1,036.13
  4. Step 4: Simplify right side
    1,561.01x = 2,230,538.82
  5. Step 5: Solve for x
    x = 2,230,538.82/1,561.01
  6. Step 6: Final answer
    x = 1,428.91

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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.