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Finding the Fourth Proportional to 1,710.94, 2,565.19 and 786.01

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Solution

The fourth proportional to 1,710.94, 2,565.19 and 786.01 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.94 : 2,565.19 = 786.01 : x
  2. Step 2: Convert to fraction form
    1,710.94/2,565.19 = 786.01/x
  3. Step 3: Cross multiply
    1,710.94x = 2,565.19 × 786.01
  4. Step 4: Simplify right side
    1,710.94x = 2,016,264.99
  5. Step 5: Solve for x
    x = 2,016,264.99/1,710.94
  6. Step 6: Final answer
    x = 1,178.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.