Home / 1,582.10-2,184.32-1,416.02

Finding the Fourth Proportional to 1,582.10, 2,184.32 and 1,416.02

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Solution

The fourth proportional to 1,582.10, 2,184.32 and 1,416.02 is: 1,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.10 : 2,184.32 = 1,416.02 : x
  2. Step 2: Convert to fraction form
    1,582.10/2,184.32 = 1,416.02/x
  3. Step 3: Cross multiply
    1,582.10x = 2,184.32 × 1,416.02
  4. Step 4: Simplify right side
    1,582.10x = 3,093,040.81
  5. Step 5: Solve for x
    x = 3,093,040.81/1,582.10
  6. Step 6: Final answer
    x = 1,955.03

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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.