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Finding the Fourth Proportional to 1,710.85, 2,360.96 and 924.90

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Solution

The fourth proportional to 1,710.85, 2,360.96 and 924.90 is: 1,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.85 : 2,360.96 = 924.90 : x
  2. Step 2: Convert to fraction form
    1,710.85/2,360.96 = 924.90/x
  3. Step 3: Cross multiply
    1,710.85x = 2,360.96 × 924.90
  4. Step 4: Simplify right side
    1,710.85x = 2,183,640.10
  5. Step 5: Solve for x
    x = 2,183,640.10/1,710.85
  6. Step 6: Final answer
    x = 1,276.35

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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.