Home / 1,465.21-2,021.93-802.04

Finding the Fourth Proportional to 1,465.21, 2,021.93 and 802.04

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Solution

The fourth proportional to 1,465.21, 2,021.93 and 802.04 is: 1,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.21 : 2,021.93 = 802.04 : x
  2. Step 2: Convert to fraction form
    1,465.21/2,021.93 = 802.04/x
  3. Step 3: Cross multiply
    1,465.21x = 2,021.93 × 802.04
  4. Step 4: Simplify right side
    1,465.21x = 1,621,669.78
  5. Step 5: Solve for x
    x = 1,621,669.78/1,465.21
  6. Step 6: Final answer
    x = 1,106.79

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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.