Home / 1,862.77-2,570.66-1,023.50

Finding the Fourth Proportional to 1,862.77, 2,570.66 and 1,023.50

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Solution

The fourth proportional to 1,862.77, 2,570.66 and 1,023.50 is: 1,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.77 : 2,570.66 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    1,862.77/2,570.66 = 1,023.50/x
  3. Step 3: Cross multiply
    1,862.77x = 2,570.66 × 1,023.50
  4. Step 4: Simplify right side
    1,862.77x = 2,631,070.51
  5. Step 5: Solve for x
    x = 2,631,070.51/1,862.77
  6. Step 6: Final answer
    x = 1,412.45

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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.