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Finding the Fourth Proportional to 2,140, 3,210.56 and 1,554.72

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Solution

The fourth proportional to 2,140, 3,210.56 and 1,554.72 is: 2,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140 : 3,210.56 = 1,554.72 : x
  2. Step 2: Convert to fraction form
    2,140/3,210.56 = 1,554.72/x
  3. Step 3: Cross multiply
    2,140x = 3,210.56 × 1,554.72
  4. Step 4: Simplify right side
    2,140x = 4,991,521.84
  5. Step 5: Solve for x
    x = 4,991,521.84/2,140
  6. Step 6: Final answer
    x = 2,332.49

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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.