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Finding the Fourth Proportional to 1,957.04, 2,935.02 and 570.50

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Solution

The fourth proportional to 1,957.04, 2,935.02 and 570.50 is: 855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.04 : 2,935.02 = 570.50 : x
  2. Step 2: Convert to fraction form
    1,957.04/2,935.02 = 570.50/x
  3. Step 3: Cross multiply
    1,957.04x = 2,935.02 × 570.50
  4. Step 4: Simplify right side
    1,957.04x = 1,674,428.91
  5. Step 5: Solve for x
    x = 1,674,428.91/1,957.04
  6. Step 6: Final answer
    x = 855.59

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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.