Home / 1,656.48-2,465.40-1,585.44

Finding the Fourth Proportional to 1,656.48, 2,465.40 and 1,585.44

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Solution

The fourth proportional to 1,656.48, 2,465.40 and 1,585.44 is: 2,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.48 : 2,465.40 = 1,585.44 : x
  2. Step 2: Convert to fraction form
    1,656.48/2,465.40 = 1,585.44/x
  3. Step 3: Cross multiply
    1,656.48x = 2,465.40 × 1,585.44
  4. Step 4: Simplify right side
    1,656.48x = 3,908,743.78
  5. Step 5: Solve for x
    x = 3,908,743.78/1,656.48
  6. Step 6: Final answer
    x = 2,359.67

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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.