Home / 1,458.23-2,012.38-795.10

Finding the Fourth Proportional to 1,458.23, 2,012.38 and 795.10

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Solution

The fourth proportional to 1,458.23, 2,012.38 and 795.10 is: 1,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.23 : 2,012.38 = 795.10 : x
  2. Step 2: Convert to fraction form
    1,458.23/2,012.38 = 795.10/x
  3. Step 3: Cross multiply
    1,458.23x = 2,012.38 × 795.10
  4. Step 4: Simplify right side
    1,458.23x = 1,600,051.94
  5. Step 5: Solve for x
    x = 1,600,051.94/1,458.23
  6. Step 6: Final answer
    x = 1,097.26

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1.5x scale

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.