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Finding the Fourth Proportional to 2,457.79, 3,686.07 and 702.80

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Solution

The fourth proportional to 2,457.79, 3,686.07 and 702.80 is: 1,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.79 : 3,686.07 = 702.80 : x
  2. Step 2: Convert to fraction form
    2,457.79/3,686.07 = 702.80/x
  3. Step 3: Cross multiply
    2,457.79x = 3,686.07 × 702.80
  4. Step 4: Simplify right side
    2,457.79x = 2,590,581.35
  5. Step 5: Solve for x
    x = 2,590,581.35/2,457.79
  6. Step 6: Final answer
    x = 1,054.03

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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.