Home / 1,416.08-2,123.96-390.16

Finding the Fourth Proportional to 1,416.08, 2,123.96 and 390.16

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Solution

The fourth proportional to 1,416.08, 2,123.96 and 390.16 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.08 : 2,123.96 = 390.16 : x
  2. Step 2: Convert to fraction form
    1,416.08/2,123.96 = 390.16/x
  3. Step 3: Cross multiply
    1,416.08x = 2,123.96 × 390.16
  4. Step 4: Simplify right side
    1,416.08x = 828,684.23
  5. Step 5: Solve for x
    x = 828,684.23/1,416.08
  6. Step 6: Final answer
    x = 585.20

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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.