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Finding the Fourth Proportional to 1,710.60, 2,358.99 and 1,415.31

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Solution

The fourth proportional to 1,710.60, 2,358.99 and 1,415.31 is: 1,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.60 : 2,358.99 = 1,415.31 : x
  2. Step 2: Convert to fraction form
    1,710.60/2,358.99 = 1,415.31/x
  3. Step 3: Cross multiply
    1,710.60x = 2,358.99 × 1,415.31
  4. Step 4: Simplify right side
    1,710.60x = 3,338,702.14
  5. Step 5: Solve for x
    x = 3,338,702.14/1,710.60
  6. Step 6: Final answer
    x = 1,951.77

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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.