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Finding the Fourth Proportional to 1,710.32, 2,359.91 and 1,011.74

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Solution

The fourth proportional to 1,710.32, 2,359.91 and 1,011.74 is: 1,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.32 : 2,359.91 = 1,011.74 : x
  2. Step 2: Convert to fraction form
    1,710.32/2,359.91 = 1,011.74/x
  3. Step 3: Cross multiply
    1,710.32x = 2,359.91 × 1,011.74
  4. Step 4: Simplify right side
    1,710.32x = 2,387,610.28
  5. Step 5: Solve for x
    x = 2,387,610.28/1,710.32
  6. Step 6: Final answer
    x = 1,396.00

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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.