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Finding the Fourth Proportional to 1,710.44, 2,362.92 and 1,464.32

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Solution

The fourth proportional to 1,710.44, 2,362.92 and 1,464.32 is: 2,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.44 : 2,362.92 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    1,710.44/2,362.92 = 1,464.32/x
  3. Step 3: Cross multiply
    1,710.44x = 2,362.92 × 1,464.32
  4. Step 4: Simplify right side
    1,710.44x = 3,460,071.01
  5. Step 5: Solve for x
    x = 3,460,071.01/1,710.44
  6. Step 6: Final answer
    x = 2,022.91

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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.