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Finding the Fourth Proportional to 1,573.88, 2,358 and 1,312.28

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Solution

The fourth proportional to 1,573.88, 2,358 and 1,312.28 is: 1,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.88 : 2,358 = 1,312.28 : x
  2. Step 2: Convert to fraction form
    1,573.88/2,358 = 1,312.28/x
  3. Step 3: Cross multiply
    1,573.88x = 2,358 × 1,312.28
  4. Step 4: Simplify right side
    1,573.88x = 3,094,356.24
  5. Step 5: Solve for x
    x = 3,094,356.24/1,573.88
  6. Step 6: Final answer
    x = 1,966.07

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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.