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Finding the Fourth Proportional to 2,256.48, 3,113.04 and 1,428

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Solution

The fourth proportional to 2,256.48, 3,113.04 and 1,428 is: 1,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.48 : 3,113.04 = 1,428 : x
  2. Step 2: Convert to fraction form
    2,256.48/3,113.04 = 1,428/x
  3. Step 3: Cross multiply
    2,256.48x = 3,113.04 × 1,428
  4. Step 4: Simplify right side
    2,256.48x = 4,445,421.12
  5. Step 5: Solve for x
    x = 4,445,421.12/2,256.48
  6. Step 6: Final answer
    x = 1,970.07

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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.