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Finding the Fourth Proportional to 1,570.65, 2,357.07 and 913.62

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Solution

The fourth proportional to 1,570.65, 2,357.07 and 913.62 is: 1,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.65 : 2,357.07 = 913.62 : x
  2. Step 2: Convert to fraction form
    1,570.65/2,357.07 = 913.62/x
  3. Step 3: Cross multiply
    1,570.65x = 2,357.07 × 913.62
  4. Step 4: Simplify right side
    1,570.65x = 2,153,466.29
  5. Step 5: Solve for x
    x = 2,153,466.29/1,570.65
  6. Step 6: Final answer
    x = 1,371.07

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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.