Home / 1,570.20-2,355.77-1,415.40

Finding the Fourth Proportional to 1,570.20, 2,355.77 and 1,415.40

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Solution

The fourth proportional to 1,570.20, 2,355.77 and 1,415.40 is: 2,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.20 : 2,355.77 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    1,570.20/2,355.77 = 1,415.40/x
  3. Step 3: Cross multiply
    1,570.20x = 2,355.77 × 1,415.40
  4. Step 4: Simplify right side
    1,570.20x = 3,334,356.86
  5. Step 5: Solve for x
    x = 3,334,356.86/1,570.20
  6. Step 6: Final answer
    x = 2,123.52

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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.