Home / 1,762.04-2,430.77-1,164.77

Finding the Fourth Proportional to 1,762.04, 2,430.77 and 1,164.77

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Solution

The fourth proportional to 1,762.04, 2,430.77 and 1,164.77 is: 1,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.04 : 2,430.77 = 1,164.77 : x
  2. Step 2: Convert to fraction form
    1,762.04/2,430.77 = 1,164.77/x
  3. Step 3: Cross multiply
    1,762.04x = 2,430.77 × 1,164.77
  4. Step 4: Simplify right side
    1,762.04x = 2,831,270.00
  5. Step 5: Solve for x
    x = 2,831,270.00/1,762.04
  6. Step 6: Final answer
    x = 1,606.81

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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.