Home / 1,465.14-2,021.91-802.05

Finding the Fourth Proportional to 1,465.14, 2,021.91 and 802.05

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Solution

The fourth proportional to 1,465.14, 2,021.91 and 802.05 is: 1,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.14 : 2,021.91 = 802.05 : x
  2. Step 2: Convert to fraction form
    1,465.14/2,021.91 = 802.05/x
  3. Step 3: Cross multiply
    1,465.14x = 2,021.91 × 802.05
  4. Step 4: Simplify right side
    1,465.14x = 1,621,680.98
  5. Step 5: Solve for x
    x = 1,621,680.98/1,465.14
  6. Step 6: Final answer
    x = 1,106.84

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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.