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Finding the Fourth Proportional to 1,752.85, 2,417.20 and 1,359.73

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Solution

The fourth proportional to 1,752.85, 2,417.20 and 1,359.73 is: 1,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.85 : 2,417.20 = 1,359.73 : x
  2. Step 2: Convert to fraction form
    1,752.85/2,417.20 = 1,359.73/x
  3. Step 3: Cross multiply
    1,752.85x = 2,417.20 × 1,359.73
  4. Step 4: Simplify right side
    1,752.85x = 3,286,739.36
  5. Step 5: Solve for x
    x = 3,286,739.36/1,752.85
  6. Step 6: Final answer
    x = 1,875.08

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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.