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Finding the Fourth Proportional to 1,710.50, 2,565.93 and 785.90

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Solution

The fourth proportional to 1,710.50, 2,565.93 and 785.90 is: 1,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.50 : 2,565.93 = 785.90 : x
  2. Step 2: Convert to fraction form
    1,710.50/2,565.93 = 785.90/x
  3. Step 3: Cross multiply
    1,710.50x = 2,565.93 × 785.90
  4. Step 4: Simplify right side
    1,710.50x = 2,016,564.39
  5. Step 5: Solve for x
    x = 2,016,564.39/1,710.50
  6. Step 6: Final answer
    x = 1,178.93

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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.