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Finding the Fourth Proportional to 1,870.40, 2,804.16 and 637.04

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Solution

The fourth proportional to 1,870.40, 2,804.16 and 637.04 is: 955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.40 : 2,804.16 = 637.04 : x
  2. Step 2: Convert to fraction form
    1,870.40/2,804.16 = 637.04/x
  3. Step 3: Cross multiply
    1,870.40x = 2,804.16 × 637.04
  4. Step 4: Simplify right side
    1,870.40x = 1,786,362.09
  5. Step 5: Solve for x
    x = 1,786,362.09/1,870.40
  6. Step 6: Final answer
    x = 955.07

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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.