Home / 1,416.08-1,953.20-975.04

Finding the Fourth Proportional to 1,416.08, 1,953.20 and 975.04

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Solution

The fourth proportional to 1,416.08, 1,953.20 and 975.04 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.08 : 1,953.20 = 975.04 : x
  2. Step 2: Convert to fraction form
    1,416.08/1,953.20 = 975.04/x
  3. Step 3: Cross multiply
    1,416.08x = 1,953.20 × 975.04
  4. Step 4: Simplify right side
    1,416.08x = 1,904,448.13
  5. Step 5: Solve for x
    x = 1,904,448.13/1,416.08
  6. Step 6: Final answer
    x = 1,344.87

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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.