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Finding the Fourth Proportional to 1,710.14, 2,359.99 and 924.19

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Solution

The fourth proportional to 1,710.14, 2,359.99 and 924.19 is: 1,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.14 : 2,359.99 = 924.19 : x
  2. Step 2: Convert to fraction form
    1,710.14/2,359.99 = 924.19/x
  3. Step 3: Cross multiply
    1,710.14x = 2,359.99 × 924.19
  4. Step 4: Simplify right side
    1,710.14x = 2,181,077.01
  5. Step 5: Solve for x
    x = 2,181,077.01/1,710.14
  6. Step 6: Final answer
    x = 1,275.38

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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.