Home / 1,582.08-2,362.32-1,416.48

Finding the Fourth Proportional to 1,582.08, 2,362.32 and 1,416.48

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Solution

The fourth proportional to 1,582.08, 2,362.32 and 1,416.48 is: 2,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.08 : 2,362.32 = 1,416.48 : x
  2. Step 2: Convert to fraction form
    1,582.08/2,362.32 = 1,416.48/x
  3. Step 3: Cross multiply
    1,582.08x = 2,362.32 × 1,416.48
  4. Step 4: Simplify right side
    1,582.08x = 3,346,179.03
  5. Step 5: Solve for x
    x = 3,346,179.03/1,582.08
  6. Step 6: Final answer
    x = 2,115.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.