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Finding the Fourth Proportional to 1,739.72, 2,401.60 and 1,111.10

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Solution

The fourth proportional to 1,739.72, 2,401.60 and 1,111.10 is: 1,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.72 : 2,401.60 = 1,111.10 : x
  2. Step 2: Convert to fraction form
    1,739.72/2,401.60 = 1,111.10/x
  3. Step 3: Cross multiply
    1,739.72x = 2,401.60 × 1,111.10
  4. Step 4: Simplify right side
    1,739.72x = 2,668,417.76
  5. Step 5: Solve for x
    x = 2,668,417.76/1,739.72
  6. Step 6: Final answer
    x = 1,533.82

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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.