Home / 1,582.58-2,363.07-1,416.98

Finding the Fourth Proportional to 1,582.58, 2,363.07 and 1,416.98

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Solution

The fourth proportional to 1,582.58, 2,363.07 and 1,416.98 is: 2,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.58 : 2,363.07 = 1,416.98 : x
  2. Step 2: Convert to fraction form
    1,582.58/2,363.07 = 1,416.98/x
  3. Step 3: Cross multiply
    1,582.58x = 2,363.07 × 1,416.98
  4. Step 4: Simplify right side
    1,582.58x = 3,348,415.84
  5. Step 5: Solve for x
    x = 3,348,415.84/1,582.58
  6. Step 6: Final answer
    x = 2,115.80

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Why These Related Problems?

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