Home / 1,614.04-2,419.62-735.64

Finding the Fourth Proportional to 1,614.04, 2,419.62 and 735.64

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Solution

The fourth proportional to 1,614.04, 2,419.62 and 735.64 is: 1,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.04 : 2,419.62 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,614.04/2,419.62 = 735.64/x
  3. Step 3: Cross multiply
    1,614.04x = 2,419.62 × 735.64
  4. Step 4: Simplify right side
    1,614.04x = 1,779,969.26
  5. Step 5: Solve for x
    x = 1,779,969.26/1,614.04
  6. Step 6: Final answer
    x = 1,102.80

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1.5x scale

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.