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Finding the Fourth Proportional to 1,710.30, 2,358.99 and 1,653.13

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Solution

The fourth proportional to 1,710.30, 2,358.99 and 1,653.13 is: 2,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.30 : 2,358.99 = 1,653.13 : x
  2. Step 2: Convert to fraction form
    1,710.30/2,358.99 = 1,653.13/x
  3. Step 3: Cross multiply
    1,710.30x = 2,358.99 × 1,653.13
  4. Step 4: Simplify right side
    1,710.30x = 3,899,717.14
  5. Step 5: Solve for x
    x = 3,899,717.14/1,710.30
  6. Step 6: Final answer
    x = 2,280.14

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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.