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Finding the Fourth Proportional to 1,710.08, 2,362.08 and 1,319.36

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Solution

The fourth proportional to 1,710.08, 2,362.08 and 1,319.36 is: 1,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.08 : 2,362.08 = 1,319.36 : x
  2. Step 2: Convert to fraction form
    1,710.08/2,362.08 = 1,319.36/x
  3. Step 3: Cross multiply
    1,710.08x = 2,362.08 × 1,319.36
  4. Step 4: Simplify right side
    1,710.08x = 3,116,433.87
  5. Step 5: Solve for x
    x = 3,116,433.87/1,710.08
  6. Step 6: Final answer
    x = 1,822.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.